The phrase "wielding baton" can be substituted with several synonyms such as brandishing baton, waving baton, flaunting baton, and carrying baton. These alternatives connote the same image of someone holding a baton, a long slender stick often carried by police officers or orchestra conductors. Other synonyms for "wielding baton" include handling baton and using baton, which imply a sense of purpose and control in the action being taken. Regardless of the synonym used, the image of someone with a baton in hand commands attention and authority. Choosing the right synonym to describe this action can help bring life and clarity to your writing.