Removing Barriers to Foster Youth Success in College Act This bill revises certain federal TRIO programs to address the participation of children and youths who are homeless or in foster care in such programs. Specifically, in approving applications for entities to carry out projects under the Talent Search or Upward Bound programs, the Department of Education (ED) shall require an entity to assure that it has reviewed and revised its policies and practices to remove barriers to the participation and retention of children and youths who are homeless or in foster care in such project, submit with its application a description of project activities that will reach out to such children and youths, and assure that it will submit a report on specified data and strategies to ED at the conclusion of the project.