Tony Mowbray admitted his side were undone by Premier League quality as Rovers' Carabao Cup campaign ended in a 2-0 defeat at Ewood Park.
First half goals from Jack Cork and Robbie Brady were enough to see Burnley through to round three.
The manager felt that his side had given their all, but that the gulf in class was there for all to see.
"I think they were on top in a few departments with their extra quality," said the Rovers boss.
"It was a tough ask, I thought we battled away. I'm disappointed with the goals of course, we needed to keep it tight as long as we could.
"The second goal right on half-time was a killer for us and it was difficult to pick them up.
"I thought in the second half we had a go, we competed and yet we know we have a long way to go. They are a Premier League side, they just spent £15m on one player. There is a gulf there, we have to accept that.
"The job for everybody at this football club is to put this club back on a level with them so we can get to the point where we can compete with them.
"At this moment that is a big gulf and at times it showed on the pitch tonight.
"I thought the players gave their all, but ultimately we come out with a defeat."
Rovers have a quick turnaround with MK Dons the visitors to Ewood Park this Saturday at 3.00pm.
Tickets for the match are on open sale with prices from £20 Adults, from £13 Concessions, from £7 Juniors 12-17 and from £5 for Juniors under 12.
Full pricing and purchase information can be found here.