State and Continental troops would have used the type and general caliber of standard Infantry guidelines.
In SOME militia units from backwoods areas, and irregulars, the guns and calibers would have been more of a manure shoot, at least until enough muskets were purchased or captured to achieve some semblance of standardization. Some units like Morgan’s riflemen, never gave up their rifles as far as I know. The Continental Congress and various State Legislatures were strapped for cash a big part of the time, which was a serious hindrance to arms standardization. Especially early in the war.
There are those who would have us believe that no “hunting rifle “ was ever fired, not even once, at a British, German, or Loyalist soldier by any American fighter in America.