Suicide Training and Awareness Nationally Delivered for Universal Prevention Act of 2021 or the STANDUP Act of 2021 This bill requires state, tribal, and local educational agencies that receive grant funding for priority mental-health needs, including through the Project AWARE State Education Agency Grant Program, to establish and implement evidence-based suicide awareness and prevention training policies. In addition, the Substance Abuse and Mental Health Services Administration, in consultation with the Department of Education and the Bureau of Indian Education within the Department of the Interior, must provide educational agencies with best practices for these trainings.