The requirements for construction contractors and federally-assisted construction contractors are different. Construction contractors covered under VEVRAA and Section 503 are required to ask applicants and new hires to self-identify if they are a protected veteran or an individual with a disability. This obligation does not apply to federally-assisted construction contractors. Pam Ploor has written an excellent two-part article that was published in The OFCCP Digest that lays out the compliance obligations of construction contractors and the difference between a construction contract and a federally-assisted construction contract. I would encourage you to read her article.
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.