If you have the Harley Quinn's Revenge DLC, you will also unlock this achievement if you perform the very similar achievement for that DLC:
The moves for Robin are similar as well:
LT (you can also tap it up to 3 times) - Quickfire Shuriken
LT + X - Quickfire Explosive Gel (In my experience, you have to both quickfire deploy and quickfire explode the gel for this to count - it's LT + X both times)
LT + Y - Quickfire Zip Kick
RT + RT - Quickfire Bullet Shield Charge
LT + B - Quickfire Snap Flash