Back on Your Feet Act of 2020 This bill (1) extends pandemic unemployment programs established by the Coronavirus Aid, Relief, and Economic Security Act or the CARES Act, (2) provides one-time payments to individuals who are no longer eligible for pandemic unemployment compensation because they have commenced employment, and (3) provides grants for the administration of state unemployment programs to states that implement certain employment-related policies. The bill also requires states to submit weekly reports to the Department of Labor on the status of backlogs in such states of the processing of unemployment claims.