The Anger Issues badge is for "Breaking down 50 locked doors"
Some doors have deadbolts on the top corner and can be interacted with to lock it. You can then go to the other side and interact with it to bash it down. You can repeat this with any door that has a deadbolt.
All trials have a similar number of locked doors (which doors are lockable is partially randomised) so just try to pick this up as you go for other achievements.
Also two handy things to note:
1. The in-game badge menu tracks your progress.
2. Leaving a trial after gaining progress still counts towards it.
Video guide for reference: