“Do you feel [noun]?” asks if the person is capable of that feeling.
“Do you feel [adjective]?” asks if the person is currently having that feeling.
In the past tense, the difference isn’t quite as strong, but there’s still a shadow of it there.
Since "advances" in that context means to "make progress", or "make improvements", so I'll stick with make.
Also, yeah, do sounds wrong.
As a side node, I went down the rabbit hole of "advances" vs "advancements", and it seems that advances is more used. Google Ngram
"Advances have been done" sounds quite wrong to me. A check on google ngram viewer shows "advances have been made" is about 1000 times more common (if I've counted the zeros correctly).
It's possible that it's a regional variant, I suppose.
Google ngram viewer