Exchange
This is where you get duplicates/additional cards of your girls. This comes in handy should you want to fully transform them or planning to do the "Full Transformation".
There are 4 tabs in the exchange and another which is access in the "Daily Mission" tab.
Badge
This allows you to exchange Badges for a certain rarity equal to the ones you had. Allowing you to get HR, SR or SSR.
There are 2 (or 3) types in said category, limited and standard. The last one allows you trade a couple of HR or SR to a higher rarity badge.
How to get them
There are few ways to get them, one is by events and the other is by selling/feeding them to another card. Depending on the card a certain number of badges will gained in it.
Note: This are written in red text below the card in question.
Ring
Rings are gained via events, both gacha events and raiding a boss. You can exchange them into event cards you gained previously.
Each category has 3 "rarity" of ring, which can be get on a certain boss per event.