Q: Does there need to be documentation of training provided on-the-job at the work site?

No.  Certified renovators must have with them at the work site copies of their initial course completion certificate and their most recent refresher course completion certificate....

No.  Certified renovators must have with them at the work site copies of their initial course completion certificate and their most recent refresher course completion certificate.  Certified renovators are also responsible for providing training to non-certified workers on the work practices they will be using in performing their assigned tasks.  The renovation firm must keep records showing what training was provided to workers, but these records need not be available at the work site.