Cooking literature has great reach since humans require eating to live. It is also an important aspect in many cultures, both as a social occasion and as for the culinary aspect, therefore it makes for a great topic, which this chick says is a good go either fantasy or non-fantasy.
Even if you decide to write fantasy dishes, the sensations one can have while eating are universally understood and therefore can be easily translated even if the reader does not know the meal, so long they can understand how they who eat are feeling.
As for what you should have them eat, that's up to you. This feathered creature is only interested in eating insects and vegetables, and they would make for boring recommendations.