The Omega is very modular and doesn't need the use of adapters. They come with 5/8x24 direct thread, a .30 cal 5/8 brake mount and a coupon when you register the suppressor for another free mount (flash hider). You can request a brake mount instead and also exhange the provided brake mount for another one in a different caliber size or thread pattern. They have awesome customer service. I use a .223 1/2x28 brake mount on my SBR, 5.56 direct thread on my other rifles threaded 1/2, and .30 cal direct thread on my rifles threaded 5/8.
I would get the Sweet 16 threaded 1/2x28 by an experienced gunsmith who specializes in suppressor threading so they are concentric to the bore. Longrifles Inc, TS CUstoms, and Adco are good to go. CLass 3 Machining is great also and threads for only $50.
Edit: I see it's a .308 Recon. You could get the Sweet 16 threaded 5/8x24 so you don't have to worry about different thread patterns.