YOU SAID:
people came home to eat food
INTO JAPANESE
人々は食べ物を食べるために帰ってきました
BACK INTO ENGLISH
People are back to eat food
INTO JAPANESE
人々は食べ物を食べに戻ってきた
BACK INTO ENGLISH
People are back to eating food
INTO JAPANESE
人々は食べ物を食べに戻ってきた
BACK INTO ENGLISH
People are back to eating food
That didn't even make that much sense in English.