Manager McCarthy had come under pressure following five consecutive Premier League defeats, and his side appeared to be heading for a sixth when they trailed 2-0 at half-time as Danny Graham and Joe Allen found the net for the Welsh club.
The hosts were booed from the field at the interval and there were howls of derision from the crowd when McCarthy withdrew wingers Adam Hammill and Matt Jarvis in favour of Adlene Guedioura and Nenad Milijas.
Sections of the home support also chanted “You’re getting sacked in the morning” at the former Republic of Ireland boss.
While the mood inside Molineux did lift as Kevin Doyle and Jamie O’Hara struck inside the final six minutes to salvage an unlikely share of the spoils, Rodgers was distinctly unimpressed with what his counterpart had endured during the 90 minutes.
Rodgers said: “I felt for Mick. We were playing well and dominating, but he has made decisions to take this club out of the Championship and make them an established Premier League club. So to show that disrespect when he is trying to change the game, I thought it was sad. I find it astonishing that he gets that amount of stick.”
McCarthy was in a thunderous mood despite Wolves’ late revival, and attempted to brush aside questions about his treatment from his own supporters.
But he did say: “They can react all they like, it was a great point and I am delighted. I can’t explain the comeback. We were really, really lucky.
“We needed something to get us off seven points, something to end the run of defeats. We needed a bit of luck or a bit of magic and if this proves to be a turning point I’ll be delighted.”