A first glance at this headline makes me wonder if this is a story from The Onion or maybe from the Babylon Bee. However, prior to reading the story from Breibart, let's t take a look at the CDC mandate.
The Centers for Disease Control and Prevention (CDC) is a national public health agency of the United States. It is a part of the Department of Health and Human Services and is headquartered in Atlanta, Georgia.

The CDC's mission is to protect public health and safety through the control and prevention of disease, injury, and disability. It works to achieve this mission through a variety of activities, including:

Conducting and supporting public health research
Providing scientific and technical assistance to state and local health agencies, and other organizations
Providing guidelines and recommendations for the prevention and control of diseases
Monitoring the health of the U.S. population through surveillance systems
Providing emergency response services in the event of public health emergencies
Providing education and training to public health professionals and the general public
The CDC works to achieve its mission through a variety of programs and initiatives that focus on specific public health issues, such as infectious diseases, environmental health, injury prevention, and chronic diseases. It also works with partners at the local, national, and international levels to address public health challenges and promote the health of people around the world.
It would appear that the CDC has completely run off the rails.
https://www.breitbart.com/politics/2022/12/28/cdc-pushes-teachers-to-measure-commitment-to-lgbtq-inclusivity-instruction/