There are several synonyms for the phrase "pushes back." One commonly used option is "resists," which means to withstand or oppose something. Another possibility is "rebels," which refers to actively opposing or defying authority or a particular course of action. "Challenges" is another alternative, as it refers to questioning or confronting something in an effort to bring about change. "Contends" can also be used, which means to argue or assert a point in response to something. Lastly, "opposes" or "defies" can also be used to convey the idea of pushing back against something.