are you in the utility tab? o3o Monster Management is in the utility tab
Util: Monster -> Monster Management
+ is here bottom right corner
type in monster name, tap on it, once you have your monsters in the bottom bar tap 'save'
after adding some mons to your management collection you can go back to the main Util: Monster and go to Party Management in there you can make your parties
The magnifying glasses take you to the monsters page where you can edit their stats for the party and stuff. you can also edit their stats by going to Monster Management and tapping a monster you wish to edit, that will take you to its stats page
Edit stat page:
While i was at it i uploaded my Tamadra from PADW ouo