The phrase "give bother" can be replaced by a variety of synonyms depending on the context of the situation. In situations where someone is causing trouble or inconvenience, "cause a nuisance" or "be a hassle" may be appropriate. Alternatively, "annoy" or "irritate" could be used to convey the sense of frustration and aggravation caused by the person or situation. If the focus is on someone who is making extra work, "create more work" or "burden" might be more suitable. Ultimately, the choice of synonym depends on the tone and intended message of the speaker or writer.