Can a Non-Cognizable Offense Affect Your Background Verification Process?

I'm curious about how non-cognizable offenses, which are considered less serious, might impact someone's background check. Actually, my sister raised domestic violence complaints against her husband and during one of the counseling sessions in the police station my family had a fight with him as he was abusing and using bad words. This all happened outside the police station and then he raised NCR against all the family members including me saying we have beaten him.

Can these types of offenses create any complications during background verification for jobs or other opportunities? How should one prepare if they have a non-cognizable offense in their record?