exeng
If it was a 'proper' over speed, you didn't need to disconnect the AP. The a/c kindly does that for you! If you 'gently pulled the nose up', you were simply doubling up on what the a/c was already doing! So be VERY careful!
This is a FBW a/c with protections, not a 737!
Airbus kindly provided you with a side stick so use it.
As I explained. The AP will have disconnected, so what choice do you have???
At the end of the day, an overspeed is not ideal, but it's little more than a paperwork exercise. So don't stall, zoom climb, or pull the wings off the thing, and even if it takes a few seconds, she'll be right!
Edited to add: if you're planning to use full speed brake at FL390 etc I would polish up your 'Mayday' calls! Particularly if you think you might close the thrust levers too!!