Sounds as if he's treating it more as "his" house beyond just the given that he owns it. And I don't think his mother has made it easier.

Here's what I think. It's my opinion only.

He, unfortunately owns the property and refurbished it.

Speak to him over a dinner perhaps and ask what things of yours you're able to put where that he'd be happy with to add your own little touches.

Telling him how you feel, from the heart, might help. That it makes you feel like more of a border in a house than a partner. He doesn't seem to see you as an "equal" in the house .... Albeit he was joking about the fridge - it was a crap joke.