In the film Roommates (2026) at about 47:40, you hear this phrase
Devon, what should we cheers to?
Cheers is not a verb right?
I think "what should we drink to?" or "what should we toast?" is better because drink to somebody/something and toast somebody/something are in dictionaries.
Is it correct English to say "What should we cheers to?"?
Maybe, American people say it in everyday English?
Cheers is not a verb in standard English. You are right that "toast" or "drink to" are the correct terms in standard English. "Toast" is relatively formal.
However, not every utterance is correct formal English, and this is especially true if you are at the pub. Forming verbs from other parts of speech is very common (common enough you can say "verbing a word") And the speaker here has verbed the interjection "Cheers". In this utterance, "cheers" is used as a verb. There are multiple examples of this in casual contexts. It's hard to know if these are independent "verbing" events (or even done humourously as a deliberate mistake) or whether people are now adopting the use as a verb from others.
You should not emulate this non-standard use yet. (But your daughter might, when she's old enough to go to the pub)