I believe those are sapphire, and can really only be polished with diamond paste and (preferably) a Dremel-like tool. If it's really scratched up, it might be better to just have it replaced.
Its a mineral crystal not a sapphire. you will have to get it replaced. https://omegaforums.net/threads/polishing-mineral-glass-mark-ii-anyone-ever-succeed.40476/