Currently the FAA, as prescribed in 14 CFR parts 121 and 135, requires certificate holders to report data by submitting manuals and hazmat training programs, or a revision to an approved hazmat training program to obtain initial and final approval as part of the FAA certification process. Part 145 certificate holders are mandated to keep records showing that all employees in hazmat have been appropriately trained.
The latest form for Hazardous Materials Training Requirements expires 2022-07-31 and can be found here.
Federal Enterprise Architecture: Transportation - Air Transportation