Mark Warburton's Glasgow Rangers side were denied a treble following the dramatic defeat.
Mark Warburton's men went into the game with their Scottish Championship rivals having already wrapped up the league title and the Challenge Cup. And having knocked Celtic out in the semi-final, they were understandably strong favourites against Alan Stubbs' side.
However, the Gers put in one of their most lacklustre performances of the campaign and were punished as two late goals - including a stoppage-time winner - saw their dreams of landing the treble dashed.
And despite preparing for a campaign in the top flight, Miller - who initially equalised after Anthony Stokes had put Hibs ahead - has admitted that it is difficult to shake off the disappointment from the game, but stressed that the Light Blues will use the defeat to motivate them to learn from their mistakes.
"We need to find a way to keep the ball out of the back of the net so to lose three goals in a cup final - two from set plays - in the last 10 minutes of a game wasn't good enough and it's still hurting," he told the Evening Times.
"But we'll use it, we'll learn from it, and the manager will have looked at it and tried to strengthen."
The Gers' defensive displays during the latter stages of the campaign suggested that complacency may have been an issue following confirmation that they had been promoted to the Scottish Premiership. In the seven games that followed the 1-0 victory over Dumbarton that confirmed that they were going up, Rangers kept just one clean sheet.
But with the stage of a Scottish Cup final meaning that they had no reason for complacency against Hibs, Warburton may have realised that this was an issue that needed to be addressed if they wanted to succeed upon their return to the highest level.
And while it is too soon to know whether the squad have learned from their mistakes, the signings of Joey Barton, Matt Crooks and Clint Hill have bolstered their options at the back and in the holding midfield position, so they should find it easier to avoid the kind of defeat which leaves disappointment lingering for such a considerable length of time.