Well the less and less he's corrected for his bad behavior the more and more be will do it. When he first started the biting is when she should have showed her dominance and let him know that she is the one in charge. But the more and more you just let him bite and let it go, he thinks he's in control.
I personally have only had one dog that had food aggression. He was a pit rescue. I know his aggression was more from never having food so when he got some he wanted to make sure no one els got it. When he growled the first time he was put up and food taken away. After a few times of that he learned it's ok. Also the method of hand feeding. Letting them know YOU give them the food. It's yours first and as the "alpha" of the house your allowing him to eat. It's up to you if he gets fed. He then learns that your not going to take his food your giving up yours to him.
I honestly dont have much advice. I've really never had a problem dog. My sister uses the Cesar Millan books and swears by them. She has two dobies and a mix and her dogs are the most well behaved dogs I've ever seen.