Gary Bowyer was delighted to make cup progress as Rovers defeated Swansea City 3-1 at Ewood Park.
The visitors saw Kyle Bartley red carded after just six minutes, but they took the lead through Gylfi Sigurdsson's fine strike.
Rovers levelled thanks to Chris Taylor, but it wasn't until the closing stages that they made their man advantage count.
Inevitably it was two former Cardiff men who downed the Welsh side as Rudy Gestede and Craig Conway scored the goals to send Rovers through as Sigurdsson's late lunge saw Swansea finished with nine men.
"The lads have stuck together and I thought that really shone through today," Bowyer told Radio Rovers.
"There was the early sending off but after that we were disappointed with the manner of their goal. It was a great strike but we should have closed the ball down better.
"But our response was terrific, Taylor has done fantastically well, it was a great move and a great goal.
"We had to be patient but fair play to the lads they learnt that today, they stuck at it and were terrific.
"Our organisation, our shape, and the way we pressed at times was great. Then we made the short corner count thanks to Rudy, and Craig's third goal just gave us breathing space.
"We are delighted for everybody, hopefully now we can get another Premier League team in the draw and enjoy a cup run."