End Banking for Human Traffickers Act of 2019 This bill establishes requirements related to the use of financial transactions in human trafficking. The bill adds the Secretary of the Treasury as a member of the President's Interagency Task Force to Monitor and Combat Trafficking. The task force must submit to Congress recommendations for the revision of anti-money laundering programs specifically targeting severe forms of human trafficking. The Federal Financial Institutions Examination Council must review procedures to improve the capability of specified programs to target financial transactions relating to severe forms of human trafficking. The Office of Terrorism and Financial Intelligence must coordinate with other specified agencies to combat the illicit financing relating to severe forms of human trafficking. The bill provides additional criteria to be considered by the State Department to indicate a country's serious and sustained efforts to eliminate human trafficking. Specifically, the bill adds criteria regarding whether a country has taken or is taking steps to implement a framework for preventing financial transactions involving severe forms of human trafficking.