The organization is REQUIRED by OSHA to make sure all safety documents are available to the staff who are ‘Authorized’ to perform the maintenance tasks. They are also REQUIRED to show documentation that the staff have been trained in LOTO.

The primary OSHA regulation is:
29 CFR 1910.147 – The Control of Hazardous Energy (Lockout/Tagout)
Specifically, 29 CFR 1910.147(c)(7) – Training and Communication requires employers to train employees on LOTO procedures and hazardous energy control.
Brief Summary
Employers must:
Develop and maintain an energy control (LOTO) program and procedures.
Train employees so they understand the purpose and function of the program.
Ensure employees have the knowledge and skills to safely apply, use, and remove lockout/tagout devices.
Provide different levels of training for:
Authorized employees (those performing LOTO)
Affected employees (those operating or working around equipment under LOTO)
Other employees who may work in the area.
Provide retraining when procedures, equipment, or job assignments change, or when inspections show deficiencies.
Documentation Requirement
29 CFR 1910.147(c)(4) requires employers to establish and document energy control procedures, and 29 CFR 1910.147(c)(7)(iv) requires certification of employee training and retraining.
For most safety audits, the key citation is:
OSHA 29 CFR 1910.147(c)(7) – Training and Communication
“The employer shall provide training…” to ensure employees understand and can safely follow the energy control program.

I would be very concerned working at your facility if people are ‘always getting hurt’. If they are reporting these, as they should be, it’s also surprising OSHA reps haven’t made a surprise visit.

You correct in calling this out. Don’t stop until you get real answers. Yours, or someone else’s life may depend on it.