Honestly, it is very annoying that 33% of all Polish audio has a wrong intonation. And it is terribly counterproductive for students who learn Polish mostly here with this course.
Why not "Does this sandwich include meat?"? I agree that "contain" is more natural, but "include" is not wrong.
I asked a native, here's the answer:
I don't think so.
The ingredients in this sandwich include cheese but the the sandwich itself contains cheese.