The phrase "did one's bit" means to do one's fair share or contribute to a cause. The antonyms for this phrase are to shirk, evade, neglect, ignore, and abstain. When someone shirks their responsibility, they avoid doing what is expected of them, failing to contribute when needed. Evading means to run away from a task, avoiding it altogether. Neglecting means to ignore or fail to do something that should be done. Ignoring means to pay no attention or regard. Abstaining means to refuse to engage or participate. Each of these antonyms represents a failure to fulfill an obligation or commitment, unlike doing one's bit, which implies a willingness to help.