Jason Shackell's opener was cancelled out at the death by David Dunn, who Dyche believes was in an offside position when retrieving Jason Lowe's touch on from Cameron Stewart's chip into the box.
Dyche said: "It doesn't feel like a defeat, not at all. It feels like a result that's been taken away from us by an official's decision.
"We've had too many of them. I've seen it and David's two yards offside.
"That is the turning point in a game we deserved three points in and, of course, the bragging rights.
"The offside goal at that stage of the game is unacceptable, I think."