Boss Owen Coyle was once again left to rue a sloppy start as Rovers suffered a third successive league defeat.
Two first half own goals from defender Shane Duffy gave Rovers yet another mountain to climb, and although they reduced arrears in the second half through Danny Graham's first time of the campaign, it proved to be too little too late.
Speaking after the match at the Cardiff City Stadium, Coyle said: "It is a mixture of emotions and certainly frustration is one of them.
"We wanted to give ourselves a platform in the game to be able to pick up points in the league and again we haven't done that.
"You can do all the preparation in the world and set yourself up and nobody is ever going to think you are going to score two own goals in the space of five minutes.
"Up to that point we were comfortable in the game in terms of how we were doing against the ball, I still think we needed to do more with the ball in terms of threatening them.
"It could have been easy being 2-0 down with two own goals and haven't not performed well in the first two league games to think here we go again, but I felt in the second half we showed a lot of heart and a lot of fight.
"A number of the boys stood up to be counted, they kept pushing on, trying to be brave and create chances and we got our goal. Then all of a sudden we had two or three half chances for the equaliser.
"So there were some positive aspects to take from the game, but moving forward we have to give ourselves a chance."
Rovers return to action this Saturday when Burton Albion visit Ewood Park for the first time.
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.