"I say Thompson, I just took a peek around that corner over there and I saw Jeeves with his trousers around his ankles, bent over and getting rogered by Sir Humphrey!"
"My goodness gracious, Reginald. I do wish Sir Humphrey would hurry up with it, I wouldn't mind giving Jeeves a good rodgering myself!"
Means the same as screwed or fucked. Generally used by guys to mean either the act of having sex with a girl (in an energetic fashion) or to mean that something is well and truly broken.
Osama bin Laden had plenty of warning and a bunch of guns in his room when Seal Team 6 came knocking, but he died without firing a shot. He should have rogered up.