Lucy likes eating Chinese food very much．
应该这么改过来.因为eating是普通现在时,likes也正好和它搭配,like to do sth． ／like doing sth． 最后一个是用ing,也就是普通现在时,而like do sth．是一个病句.
或者还可以改成Lucky likes to eat Chinese food very much,就是采用上面的第一个like to do sth．,do 前面加一个to.
全句意：
Lucy 非常喜欢吃中国菜.