'Irretrievably' carries a sense of finality, suggesting that something is lost or damaged beyond repair. The trust between them was irretrievably broken.
Pro Tip 2/3
Intensity
Use 'irretrievably' to stress the intensity or severity of a situation, often with negative outcomes. After the fire, their family photos were irretrievably destroyed.
Pro Tip 3/3
No Restoration
'Irretrievably' implies that no effort, action, or time can restore the situation to its original state. Years of neglect left the historic building irretrievably dilapidated.