Owen Coyle felt Rovers paid a heavy price for a late lapse in concentration as they left Elland Road empty-handed.
After a goalless first half the game sprang into life when Chris Wood opened the scoring for Leeds.
Rovers responded quickly and effectively with Marvin Emnes registering his first goal for the club with a stunning 20-yard strike.
But as Rob Green made two key saves at one end, Rovers conceded late at the other, when Kyle Bartley headed home unmarked, much to the manager's disappointment.
"It was a very cagey game and their goal came out of nothing, we had to pick ourselves up and get a reaction from the players and we did that when Marvin scored a wonderful goal to equalise," Coyle told Rovers PlayerHD.
"At 1-1 we had two great chances to win the game but Rob Green has pulled off two great saves.
"In the lead up to their second I think maybe the free-kick should have gone our way, with a foul on Darragh. Unfortunately for us it lead to a goal as Sam switched off for the free-kick but he'll learn from that.
"We paid a heavy price for that lapse in concentration as we were dominating the game and looked the more likely to go on and win the match.
"We showed enough tonight to know that we can go out and win games, sometimes you don't quite get the run of the ball and luck isn't on your side. But it's important that we pick ourselves up quickly and prepare for the match against Rotherham on Saturday, there are no easy wins in the Championship and we need to prepare ourselves to be focussed and to try and win the game.
"We need to defend set plays better and that can be achieved by staying focussed. If we do that, it gives us a platform to go and win games. The supporters who travelled to see the team were tremendous tonight , we've got to make sure we are winning games for them and pick it up quickly and that's what we're looking to do."
There's a quick turnaround with Rotherham United the visitors to Ewood Park this Saturday.
Tickets are on open sale up until the 3pm kick-off priced from £18 for Adults, £12 Concessions and £7 for Juniors aged 17 and under.
Book now online at www.eticketing.co.uk/onerovers, or at the Roverstore, Ewood Park, or by calling the ticket office on 01254 372000.