Removing Repeated Executive Delays to Transboundary Approvals of Pipelines and Engineering Act - Designates and empowers the Secretary of State to receive all applications (except those received by the Secretary of Energy [DOE] under current law) for permits for the construction, connection, operation, or maintenance, at the U.S. borders, of facilities for the exportation or importation to or from a foreign country of petroleum, petroleum products, coal, other fuels, certain products, water or sewage, as well as persons or things. Prescribes requirements and procedures for granting a permit. Authorizes TransCanada Keystone Pipeline, L.P. to construct, connect, operate, and maintain the pipeline and cross-border facilities specified in an application filed by TransCanada Corporation to the Department of State on May 4, 2012. Deems the Final Supplemental Environmental Impact Statement regarding the pipeline issued by the Secretary of State in January 2014 to fully satisfy the National Environmental Policy Act of 1969, and any law that requires federal agency consultation or review, including the Endangered Species Act of 1973. Restricts any legal challenges regarding a federal agency action and such facilities to judicial review on direct appeal to the U.S. Court of Appeals for the District of Columbia Circuit. Directs the Comptroller General (GAO) to review any Executive order issued by the President that is not based on the President's exclusive constitutional authority.