Reversing Every Vaccine Emergency Requirement and Stopping Employee OSHA Mandates Act or the REVERSE OSHA Mandates Act This bill limits the authority of the Occupational Safety and Health Administration (OSHA) to regulate workplace safety and health matters. Specifically, the bill repeals OSHA's authority to issue emergency temporary standards related to workplace safety and health. The bill further specifies that OSHA may not, under its authority to regulate workplace safety and health, require the administration of any drug, vaccine, or other biological product to an employee.