The Frontier Pass is an extention of the Trainer Card

First, you have a cursor that lets you pick the two cards on the right hand side or hover over the left. On the left it shows how many BP you have (Battle Points) and how many Frontier Badges you have. Once you have all 14 Badges, you get an extra Star on your Trainer Card:
Tactics Symbol Obtained in the Battle Dome Guts Symbol Obtained in the Battle Arena Luck Symbol Obtained in the Battle Pike Brave Symbol Obtained in the Battle Pyramid Knowledge Symbol Obtained in the Battle Factory Spirit Symbol Obtained in the Battle Palace Ability Symbol Obtained in the Battle Tower
The Top Option on the Right Hand side takes you to a map of the Battle Frontier where you can scroll down and it highlights the Battle Frontier Parts such as Battle Dome or Battle Palace. Handy if you wanna find the other Battle Frontier Places
The Bottom option is the Bog Standard Trainer Card