Kutya is for Parastas/Panakhyda in the UGCC; I use it fairly regularly. It is mentioned in the Rome Trebnik, the Trebnik of Patriarch Josyp, and the newer Studite Trebnik which is essentially an updating and expansion of Patriarch Josyp’s. It is mentioned in the Mohylian Kyivan books.
There is another Western Ukrainian tradition that I have seen in Canada and Ukraine that small loaves of bread are used instead; this is the usage at St. Elias and Brampton and other places:
http://www.saintelias.com/foto/big/panxbreadelevatn_cem.jpg
I’ve never seen nor heard of rice being used; wheat has a significant cultural meaning for Ukrainians in addition to its traditional usage for St. Theodore Tyro, etc.