When pointed out to her she gets extremely child like and says 'I wont cook, i wont use your refrigerator" etc.. I ask her if i have ever asked her not to cook etc.. and then I say to her to act like an adult not like a child (she has a long history of saying immature like comments when asked to do something differently). She drives and is of sound mind.
My significant-other some times forgets to close the refrigerator door and he is very much in sound mind. I can come home after work and know what rooms he's been in prior to him going to work because of open closet doors, open cabinets, etc.
For the refrigerator, I took the heavy items off the door shelves, so now the door closes by itself.
It does sound like she is feeling resentful about being in "your kitchen" and having to use "your refrigerator" etc. Has she recently moved in with you? It must be very difficult to give up one's independence and have to move in with someone and be somewhat dependent on them -- even if the new place is ever so much better, it still isn't yours.
Telling her to not act like a child may make her feel all the more like she is losing her independence and that you are now the "mother." While in some ways that may be true, it might be kinder if you didn't rub that in.
Also, instead of defending yourself, "Did I ever ask you not to cook?" it might go better if you reassure her. "Oh Mom! I love it when you cook. I'm so glad to have such good help with you here. It is just that that darn refrigerator door has a mind of its own and you need to shut it firmly so it knows you're boss!"
In other words, look past the refrigerator door to your Mom's feelings. Help her be comfortable in "your" house.