Cover for is a common phrase that refers to taking the responsibility or blame for someone else's actions. In business, employees may be asked to cover for each other when one person is absent or unable to complete a task. There are many synonyms for cover for, including substitute for, take over for, stand in for, act as a proxy, provide backup, and be a fill-in. Other phrases that have similar meanings include support, provide assistance, and do someone a favor. It's important to choose the right synonym based on the context of the situation and the relationship between the individuals involved.