Fostering Undergraduate Talent by Unlocking Resources for Education Act or the FUTURE Act This bill extends through FY2021 and revises mandatory funding programs for historically black colleges and universities and other minority-serving institutions, including by allocating a portion of the funding for grants to predominantly black institutions for programs in (1) science, technology, engineering, or mathematics; (2) health education; (3) internationalization or globalization; (4) teacher preparation; or (5) improving educational outcomes of African-American males.