Midwives for Maximizing Optimal Maternity Services Act of 2021 or the Midwives for MOMS Act of 2021 This bill establishes grants within the Health Resources and Services Administration (HRSA) for establishing or expanding midwifery programs at institutions of higher education and nursing schools. HRSA may prioritize funding for institutions that focus on increasing the number of midwife professionals from underrepresented groups and that promote practicing in areas with limited access to professional health care.