Fostering Postsecondary Success for Foster and Homeless Youth Act of 2022 This bill establishes a program through which the Department of Education (ED) must annually recognize institutions of higher education (IHEs) that offer outstanding services and programs to foster care and homeless youth. Further, ED must establish a Center for Fostering Postsecondary Success for Foster and Homeless Youth to assist IHEs with creating and maintaining their programs for these youth.