You mention that you have tried educational campaigns with your employees. I recommend the following video to my clients, as it is short, provocative, and to the point: https://www.youtube.com/watch?v=qPVRhHB9fXs. I also recommend asking all employees, once a year, to verify that all personnel info, including demographic info, is up-to-date. While we can't require them to self-ID, we can require them to review their record. When it comes to applicants, OFCCP only asks that we do our best to obtain the demographic data. Some contractors have increased applicant response rates by eliminating default responses. This requires the applicant to affirmatively select one of the responses, and among the responses is the "I choose not to self-ID" response. Good luck!
You can use this OFCCP audit checklist to ensure you're doing what is required to maintain OFCCP's regulations including VEVRAA, Section 503, and EO 11246. Or request a demo to streamline your compliance and recruiting efforts.