The Clarets have been on the receiving end of last gasp goals twice at Turf Moor this season, against Hull City and Arsenal.
But they turned things on their head to complete a Turf Moor Merseyside double - following the home win over Liverpool earlier this season, through Scott Arfield’s rifled 90th minute strike.
Dyche said: “There have been a few times this season when things have gone against us, and you like to think over a season you get a bit of balance.
“I think we’ve had to earn that today.
“To bounce back from last week with a solid performance was great and I like the authenticity of the group.
“We’re not trying to kid anyone; we know it’s going to be a big challenge and equally we’re not trying to tell the world we’re going to play like Barcelona every week.
“We’re going to have to fight for every inch we get, we’re going to have to be organised and diligent and do our jobs and still provide the quality need to win a match.”
Sam Vokes prodded the Clarets ahead on the first half following a brilliant passing move that ended with Arfield’s deflected shot being spilled by keeper Maarten Stekelenburg.
And after Yannick Bolasie had equalised midway through the second half, the Blues pushed hard for a winner before Arfield rifled home after Johann Berg Gudmundsson’s effort had cannoned back off the crossbar.
“I thought the two goals were outstanding,” said Dyche.
“We got lucky in the end for the first after they got a foot in and the keeper spoils it before Vokesy does his job, but the build-up play before that was excellent play.
“The second is a wonderful finish after Johann’s effort which was worthy of a goal in itself.
“They are a very good side, make no mistake, so I am really pleased.”
I was really pleased for the group today because when you think we were without Andre Gray, Ashley Barnes is still on his way back and Steven Defour and George Boyd were missing. They are big players at a club like ours and it was terrific for the players to see through that and get on with it and put in a performance.
"There is life beyond the initial 11 and we were at the end of our squad today, so I am really pleased with what we are doing.”