Taskforce Recommending Improvements for Unaddressed Mental Perinatal & Postpartum Health for New Moms Act of 2021 or the TRIUMPH for New Moms Act of 2021 This bill temporarily establishes within the Department of Health and Human Services the Task Force on Maternal Mental Health. The task force must develop a national strategy for maternal mental health and report on best practices, policies, and programs to prevent, screen for, diagnose, treat, and reduce disparities in maternal mental health conditions. The report must identify opportunities for state- and local-level partnerships to address maternal mental health, and the task force must share those opportunities with state governors.