Well your Mom is this way, always has been, and is just this way and she will not change.
And she treats your brother differently.
That's not nice, but she is this way.
Hopefully your brother and you get along, anyway. Not letting your Mom's attitude get in the way of that and create 'resentment' in you.
That sucks.
But well, your Mom is not a fuzzy cuddly warm attitude type.
And she is a taker-backer.
Childhood issues, can be adult issues later, and resonate, still.
Try not to let that happen.
I have a sibling.. that just cannot, let go of things/wrong/hurts, that SHE thinks, happened. And she always misconstrues things, 'against' my Mom.
NOT saying this is you.
But per my sibling, well even to this day, she always has issues with her wishing my Mom were a certain way, instead of just accepting and knowing, my Mom is a certain way. And she can't get over it.
Creates such, drama. And is such a waste of energy.
She still brings things up from CHILDHOOD, that still.... irks her.
Good grief.
My Mom even does not remember it. But she does.
It is like a albatross around everyone's neck.
Your Mom has a thing about her things are her's, even if she seems to... give it away.
Well your Mom has that problem.
You know it.
So you can't take her word for it.
Unfortunately.
You are thinking of just not inviting your parents now, just because of the dishes?
Think about that.
Is that going to "solve" all these problems?
Its just dishes.
Why don't you just sit your Mom down, and tell her all of this.... in a reasonable mature even tone of voice?
Call her on it.
If that makes you feel, better.