Criminal Judicial Administration Act of 2020 This bill expands the authority of a judge to provide transportation and related expenses to a defendant to travel to a federal criminal court proceeding and also authorizes a magistrate judge to rule on post-judgment motions in certain criminal cases. (A magistrate judge assists a district court judge and exercises certain authority delegated by the district court judge to the magistrate judge, such as conducting trials in certain misdemeanor cases if the defendant consents.)