I'm going to need more information before I can answer your question with any kind of specificity. It sounds like you are talking about a motion to withdraw a plea someone you know has been sentenced to? If so, it's very important you move quickly, as you typically only have 30 days to file your motion to withdraw the plea. If that is what you are talking about, please call my office for more information.
Generally speaking, it is a request to the court to undo something. For exmaple, sometimes defendants file motions to withdraw guilty pleas. If a court were to grant such a motion, the defendant's plea and sentence would be vacated. A lawyer should be consulted to determine if any such motion is appropriate.
A motion to withdraw is usually when an attorney asks the permission of the judge to be taken off of a case. This usually happens when the client does not pay the lawyer, or when another attorney wants to take over or be substituted onto the case. You say "he" was arrested and sentenced to 60 days. It sounds like the criminal case is over, although if dissatisfied with the result "he" who was convicted has 30 days from the date of judgment to appeal to a higher court.