Yes, you are correct that you need to make some changes to your tagline. The example above is missing two required groups: gender identity and protected veterans. According to the OFCCP FAQs on its website, "Under OFCCP’s regulations, contractors may either state that they do not discriminate on any of the protected bases under Executive Order 11246, and list them all, or they may simply use the phrase “equal opportunity employer.” If electing the first option, contractors are required to add “sexual orientation” and “gender identity” to the list of bases on which discrimination is prohibited." The OFCCP further provides an example of a tagline, "“Equal Opportunity Employer–minorities/females/veterans/individuals with disabilities/sexual orientation/gender identity.” It's always a good idea to seek advice and not rely solely on the FAQs, but in this case, the tagline example is sufficient. Be careful about any abbreviations you might consider as those might put your company at odds with compliance requirements.
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.