Indication of the pronouns:
doesn't this mean I EAT FOR THEM or TO THEM?
No, it doesn't.
τους can be either genitive or accusative; it's accusative here (since τρώω takes a direct object but no indirect object).
And if I wanted to say I EAT THEM, wouldn't i need to say τρώω αυτούς?
No, you don't have to. τους τρώω would be more common.