
Like Harley said, giving your dog different foods for treats shouldn't make a difference.
I feed all mine a raw diet, and for training I use pork scratchings :) (NOT the sort you buy over the counter ;) but from the same place I get the meat)
I have, in the past, used cooked liver (because raw makes a mess ;) ) :P and dried tripe sticks broken into small peices, and cheese, and cooked sausages :)