Boss John Hughes believes the 2-1 defeat shows there is still much work to be at Hibernian.
"Once again, I'm disappointed for the supporters," Hughes told BBC Scotland.
"I would never patronise them, they're watching what I'm watching and it's not acceptable for the size of Hibernian.
"This was a massive game and if that was the performance that I'm looking for to try and take us to Hampden then we've got a lot work in front of us."
"However much it pains me, you have to give credit where it's due so I hope they go on and enjoy their day in the sun at Hampden against Glasgow Celtic," said Hughes.
"Take nothing away from them, they gave everything they had and they got their two goals to go through so I wish them all the best in the semi-final."
Hibs took the lead at Victoria Park through Anthony Stokes' header but close range goals from Garry Wood and Scott Boyd claimed a famous win for the hosts.
"There's no hiding place, we're not playing well at this moment in time," Hughes said.
"I said before the game that if we could keep a clean sheet then we would score goals.
"We got the goal but to concede the two goals that we conceded, you'll never win a football match like that, it's self-inflicted and it's really disappointing.
"I've never seen anyone score a great goal against us, they're all scrappy goals and we could've done better.
"Hibernian shouldn't be coming up to First Division teams and getting turned over, not in the quarter-final of the Scottish Cup. I'm just wondering if it hurts them enough."