Welcome to the forum, Martin. The answer to your question depends: Have you examined the muzzle to see what kind of crown has been put on the barrel? Often, cut patches occur simply because there is little or no crown to the muzzle. The patches cut before they hardly enter the rifling!
To check that, simple run the patch into the barrel a 1/4" and pull your jag back out. If the cuts are there, get some emery cloth, and the round end of a file handle, wrap the hanle with the emery paper and turn it around in the muzzle, to smooth down those edges. It doesn't take much polishing to get rid of the edges that are cutting your patches. I always do this with a clean, Dry barrel, because I am going to get grit down into the barrel, I want to be able to upend the barrel and tap its sides to get the big stuff out! The small stuff will come out with a dampened cleaning patch.
Next, make sure the Jag you are using is not to large in diameter for the bore. You need to meaure the land to land diameter as well as the jag with a Caliper to determine this. Your jag should be stepped, that is, the widest portion should be the first " ring ", and each ring after that should be slightly smaller in diameter. That allows the jag to pull crud out of the barrel, when the part of the patch back of the from ring blouses, or bunches up, and fills the grooves. The Largest ring diameter needs to be at least one patch thickness smaller than your land diameter. If that is still too tight, then put the jag tip in the chuck of a drill or drill press, and use a file to reduce the diameter further. Then reduce the diameter of the other rings back in similar proportions.
Now, if your patch is not being cut at the muzzle ( This happened with my first ML rifle, BTW, which is why I spent some time discussing it) and is being cut by burrs or very sharp edges on the lands, then some kind of polishing is in order.
First, fire the gun, and check each patch that is fired. Sometimes rifling will cut cleaning patches, but not shooting patches that are properly lubed.
If the burrs on the lands are few, just shooting the gun ten times may knock them off, and no further work is needed.
If you are seeing cut patches on the ground, or torn up patches, check your lube, and then the powder you are using. All the Substitute powder burn at a much higher temperature, and you may need a OP wad, or filler between the powder and the PRB to keep the patch from burning. If you are using a heavy dose of FFFg powder, you may find your patches burning, and tearing. Anything above 70 grains can become a problem in some guns.
Now, if you actually are seeing little square slits in the patch where the marks of the lands appear on the used patch, you have some polishing to do.
I am a big fan, recently, or using those Green Scrubber pads you buy in the grocery store to cleaning pots and pans. Scotch brand makes them, I believe. The only caution is that you usually are going to need a jag that is one bore size smaller than your rifle's caliber. ( ex. use a .50 cal. jag to polish a .54 cal barrel; a .45 cal jag. to polish a .50 cal barrel, etc.) Jags only cost a couple of bucks, and can be ordered through the mail from suppliers, if you don't have a retailer available that carries them, but it is still something else you have to acquire, and that makes it a PITA!
Fire lapping is the next easiest way to go. Just put your lapping compound on a well lubed patch, and load a ball on the patch with the lapping compound on the outside, and fire the gun. Just seating the ball will rub the compound against the edges of the lands, and firing the ball out, will send that compound back against the lands and their edges under high pressure. It works.
The last way is to use a couple of thicknesses of cleaning patches on your cleaning jag, or , my preference, a bore brush, with the patches lubed, first, with oil, and then the lapping or polishing compound on top of the patches. Run the brush and patches down the barrel and then come back out, and use this back and forth method, with the tightly fitted patches, to polish the lands and remove the burrs. Count your strokes and every 5 or ten complete circuits, pull the patch out to examine the color of the patches, and the condition and amound of lapping compound left on the patches. The patches should turn black very quickly doing this. Add more compound if the work gets to feeling " easier " and push the patching back down the barrel and continue to scrub. I change the patches when I start seeing fraying of the edges, or splitting of the thread where my lapping compound is put. Or, if the brush bristles are poking out through both patches all around the patching, indicating that I have gotten all the real pressure out of those patches that I am going to get.
HINT: I do this work at home on my work bench. I don't need to fire a full powder load through the barrel to find out if the barrel is still cutting patches. So, Periodically, I stop, clean the barrel out of crud with alcohol, and then load the barrel with 15 grains( my .50 cal.) of FFg powder, run a PRB ball down the barrel, and then fire it into the ground in the back yard. The sound is about like a .22, only less of a crack. I have even fired them into a tree stump I had in my garage to hold my anvil, but the smoke is a problem. By shooting the shot off into the ground, I can retrieve the spent patch easily, and check it. If the lands are still cutting the patch, it will show. When only one or two lands are still cutting, I will often mark a patch at the muzzle, using a magic marker pen, then load it into the gun, and fire it, so that the recovered patch can be realigned with the barrel, and I can determine which land or lands still is the problem. Then I go back to polishing it, putting a little side pressure on my range rod to force the compound against that land or those lands as I run the patches down the barrel. I have even switched to my standard cleaning jag, with a single patch, with compound on it, to get those remaining sharp spots off. If the patches are thin, I try different patches, or double up. As long as the patches are well oiled, before the compound is put on the patches, and the double patching goes down the barrel, I can get them out. I reverse the direction of my rod after I first get the patches into the barrel, just to make the bunched up material to adjust and fit into those grooves at the back of the jag, where the rings are smaller in diameter. That makes the fabric do the work, rather than that front brass ring on my jag.
Sorry for the long answer, but it is necessary so that you know how to diagnose the source of the problem, and understand your options to fix it. Years ago, now, when I didn't own a ML rifle, yet, I met a guy at my club who had spent the prior week lapping his bore to get rid of the cut patches. He was cussing his gun a blue streak, and that is what attracted me to him. I asked him what was the problem, and he showed me patches he had saved from the last time he was at the range, and then a new patch he had just fired. He then told me about the hours he had spent polishing the land. We removed the nipple and put a light down into the flashchannel, then looked down the barrel. The lands looked smooth, polished, and no evidence of burrs. Then as I looked away from the bore, a flash of light gleamed off the rifling at the muzzle. I looked down, and noticed that the ends of the rifling, were sharp, and square at the muzzle, as if no attempt at crowning the muzzle had been down. I asked him to just push a ball and patch down the muzzle with his short starter, but leave enough patching so we could grab it and pull the ball back out. Sure enough, the front edges of the rifling had cut neat little slits around the entire ball. All he had to do was about 5 minutes of work polishing that crown and he was good to go. He was laughing when he saw me the next month. And he was very happy with how his gun was shooting, too.