Sunny could not really treat Ananke to the staples of the waking world cuisine, since he lacked the ingredients. He couldn't even cook up the few classic military dishes, which were mostly based on using synthetic rations in inventive ways.
However, he and Nephis still managed to make a delicious meal — they were Awakened, after all, and Awakened were supreme masters of turning monster meat into all kinds of delightful dishes.
In fact, Awakened cuisine was as varied as its basic ingredients were limited. There were some fundamental skills taught to everyone, but each Citadel and region of the Dream Realm added its own flavor to the tradition. So, each Awakened cook was, in a sense, unique.