They don't track this unfortunately. The quickest solution is a hybrid token where you simply get a unified "collection book" for all the raids. So instead of Khloe's system where it's RNG, it's fixed. So if you want a piece of gear in the book, you run those raids, and you get that piece of gear, of which you get to select which job you want it for. If you feel like running raids for two weeks straight you could fill up the book and thus have a complete gear set for one job. No more "parts" or "coins" that fill up inventory space. They could even do that for the dungeons/tomes, though I think at present the tomes system is sufficient for getting through non-raid content.
So you might have something like "Deltascape/SigmaScape/??? 8-player Raids":
"Adamantite (Accessory gear) of (job (select))" ( ) ( ) ( ) ( )
"Adamantite (Accessory gear) of (job (select))" ( ) ( ) ( ) ( )
"Adamantite (Accessory gear) of (job (select))" ( ) ( ) ( ) ( )
"Adamantite (Accessory gear) of (job (select))" ( ) ( ) ( ) ( )
"Adamantite (Body gear) of (job (select))" ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
"Adamantite (Legs gear) of (job (select))" ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
"Adamantite (Head gear) of (job (select))" ( ) ( ) ( ) ( ) ( ) ( )
"Adamantite (Hands gear) of (job (select))" ( ) ( ) ( ) ( ) ( ) ( )
"Adamantite (Belt gear) of (job (select))" ( ) ( ) ( ) ( ) ( ) ( )
"Adamantite (Foot gear) of (job (select))" ( ) ( ) ( ) ( ) ( ) ( )
"Adamantite (Weapon Main hand) of (job (select))" ( ) ( ) ( ) ( ) ( ) (-) (-) (-)
"Adamantite (Weapon Off hand) of (job (select))" (-) (-) (-)
So the seals are automatically filled as you do the raid (including each boss), and when you get enough seals to redeem it, you can pick the job you want to redeem it for and then it resets the seals for that line. If certain raids are new, you can only redeem one gear per week.
I'm on Primal too, and I do everything with the Duty finder.