Listing awarded grants not affiliated with a university research position on a CV
Your CV is a list of all of your scientific credentials, not just all of the credentials that you happen to have gathered while in a university research position.  Whether you obtain your grant at a university, a non-profit, or a for-profit company, in all cases it shows evidence of your ability to engage with funders and obtain external support for research, education, outreach, technology transition, or other such activities that are important in academia.  Certainly, for my own part as a scientist working at a for-profit company, I quite comfortably and proudly list the funding that I have obtained for my work on my CV.