Problem with object indirect in french?

In your example you made lui the direct object. Je demande de lui manger avec moi means I asked to eat him with me. It would make more sense to say je lui demande de manger avec moi. The order is always subject indirect object verb direct object, unless you are substituting le, la, les or l' for the direct object. for instance: Je lui donne une pomme, and je la lui donne.