Concerns about makeup that doesn't break down even due to clogged pores

I'm worried because whenever I apply base makeup, it cakes when I have dry skin and falls apart when I have oily skin. It's especially bad because it settles into my pores.

My skin concerns tend to be even worse, especially since I have combination skin.

What kind of makeup base do you all use in situations like this?

My concerns about my makeup breaking down due to my pores keep growing, so I decided to post this.

I usually use a cushion for my base, but I like other products as long as they are good.

Would a primer help too?