Help with bedwetting - managing adult diapers

My father has TBI, he can't move his legs, and he's incontinent. He lives in an apartment with 2 caregivers.

We put him in an adult diaper at night, but he still wets his bed linen constantly. His caregivers tell me that he's pulling his penis out of the side of the diaper. It's causing sores and infections.

Has anyone dealt with this? Is there a trick to making adult diapers more effective?