bother with (someone or something)
1. To expend one's energy addressing a particular person or issue. Often used in the negative to convey the opposite. Don't bother with Billy—he just doesn't care about his grades, and no rewards, threats, or suggestions have helped. Oh, don't bother with all that stuff, I'll put it away.
2. To disturb or irritate someone by involving them in a particular issue. In this usage, a noun or pronoun is used between "bother" and "with." He needs to stop bothering me with these complaints about the computer system because there's nothing I can do to fix the problem.
bother someone with someone or somethingand bother someone about someone or something
to annoy someone with someone or something; to worry someone about someone or something. (Either a physical annoyance or a mental annoyance.) Don't bother me with that! Don't bother yourself about the bill. I'll pay it.
bother with someone or something
to take the time or trouble to deal with someone or something. (Usually negative.) Please don't bother with Jill. She can take care of herself. Don't bother me with your problems.