'Try it' is normal to see if someone likes something; 'you might like it, try it (and see)' it could be for anything, except clothes where 'try it/them on (and see)' is used. 'Taste it' is to judge the taste, so it's used when you are cooking; 'I think this needs more salt.. Can you taste it.. what do you think? :)

"Try it" is most appropriate if there is a bowl in front of them, but they are reluctant to start eating - you are encouraging them to start. "Taste it" is best when offering them a little bit just so they can find out what it tastes like. You could instead say "try a bit", "taste a bit" or "have a taste".

"Try it" is the more natural option. Alternatively, you could say "have a taste"