Breaking Quarantine Trophy
Escape from the Research Lab
This is story related and cannot be missed.
Straight after the previous trophy (Come To Mama) you will enter a room with two androids and another control panel as your objective. Kill the androids and press square once again to interact with your objective. Another cut-scene will play that shows the labs big double doors opening allowing the matriarch to escape with a lot more aliens. You will get the trophy during or after the cutscene.