Afghanistan Withdrawal Oversight and Liability Act or the AWOL Act This bill prohibits using federal funds appropriated for FY2021 to provide support to the Taliban. The bill also requires reports and certifications related to Afghanistan. Specifically, no FY2021 funds may be used to (1) make payments or contributions of material support to the Taliban, or (2) provide relief from sanctions against the Taliban or its leaders. The bill requires the President to report to Congress on efforts to evacuate U.S. citizens and lawful permanent residents from Afghanistan. The President must also certify to Congress when all such individuals seeking evacuation from Afghanistan have been evacuated. The Department of State must periodically report to Congress on any agreements between the United States and the Taliban. Within seven days of the United States reaching an agreement with the Taliban, the State Department must provide to Congress all materials relevant to that agreement. The bill also requires the Office of the Inspector General of the State Department to report to Congress about the State Department's compliance with legal requirements in connection to agreements with the Taliban. Specifically, the office must assess compliance with a law that requires the State Department to provide certain information to Congress when the United States enters certain international agreements. The Department of Defense must report to Congress concerning U.S. equipment, property, and classified material that was destroyed, surrendered, or abandoned in Afghanistan during a period starting from February 29, 2020.