Players have two separate inventories for Character Augs and Weapon Augs.

To view, Character augs visit the 'My Solider' screen.

To view Weapon Augs, visit each Weapon Augs, go to My Weapons, tap on a weapon, and press [AUGMENT]. Now your Weapon Augs will be displayed here.

Don't forget, you will need to press [AUGMENT] for each weapon type to see all of your weapon augs.