I am not 100%, but I recall being younger when they gave me aspirin or children's Tylenol, that it had a "cotton," type of taste. When it is a pill, it can be quite "pasty," therefore, maybe having some water or juice before you take the pill and after, might alleviate that.
Another thing, for dry mouth, try looking for over the counter sprays, or mouthwash that might help as well, you could even just rinse your mouth with it or water before hand.
Maybe, drinking more water could also help for awhile and see if there are any changes. yes to add, gum helps at times and candy, I have it sometimes, but won't say it is from meds, as I don't take them that often, another comment question.. Are you a singer or do any kind of acting/talking quite a bit for a job maybe, athletic? That could be another or other factors. I had dry mouth bad, when playing sports, and when singing anything active.