Under EUA status, the government is not permitted to require Covid-19 vaccinations because the vaccines are not FDA-approved and recipients are clinical trial participants. This is why states cannot legally require vaccination, despite suggestions by some legislators to do just that.
Indeed, the US military is barred from mandating the vaccines. This ban on government vaccine mandates explains why some private companies are trying to require vaccination of employees, which makes the Equal Employment Opportunity Commission (EEOC) guidance on this issue potentially relevant.
THE EEOC GUIDANCE ON COVID-19 VACCINATION DOES NOT AUTHORIZE VACCINE MANDATES
Source: Covid Vaccine Nonsense