Murty would not discuss his future but admitted he needs a massive response from his players in the final five league matches in the race for second place.
And Ibrox skipper Tavernier was dismayed with the lacklustre performance as the Gers suffered another derby defeat.
Do Rangers lack a player like McCulloch in the current set-up?
He said: "It was embarrassing".
NBA Playoffs: Breakding down the Rockets vs. Timberwolves series
The Houston Rockets are averaging 112.4 points on 46 percent shooting and allowing 103.9 points on 46.2 percent shooting. The Wolves didn't get enough from their big guns to contend with a team that possesses the firepower Houston has.
"We were just passive".
"Craig [Gordon] made a couple of good saves but we should be scoring at least one". It's not good enough for this club and it's not good enough for our fans. I don't think words are enough to convey how I'm feeling right now.
It's a huge credit to them and the focus this week has been very good, it was comprehensive.
Tavernier was at a loss as to explain why the bare minimum of effort alluded his team.
He said: "I'm not going to talk about my role". "It comes down to individuals". They are guys who shown all the supporters that they can achieve things and when big games come they turn up.
Togadia's run of VHP is over
Announcing his decision, Togadia said, " I am not in the VHP anymore ". I will continue to work for the welfare of Hindus.
"Rangers have now got a challenge to finish second".
Although he didn't get himself on the scoresheet, Celtic captain Scott Brown played a blinder in central midfield.
Then Graeme Murty's men contrived to squander a glorious opportunity for a win, losing 3-2 despite being tied at 2-2 when Celtic were reduced to ten men with more than half an hour remaining.
Murty said on Sky Sports when asked: "Andy was frustrated, he's been taken off before half time".
Even from the earliest moments, Celtic looked in the mood to dismantle opponents that appeared in precisely the fragile, feckless state to be unable to prevent them doing so. I don't get their formation at the start of the game.
Pro-West Djukanovic set to be Montenegro president
The average salary in Montenegro sits at around €500 ($615) and unemployment is more than 20 percent. President Filip Vujanovic, also of the ruling party, was not running due to term limits.
It hasn't been all flawless for them however, Celtic's Champions League campaign was disastrous as they recorded just one win in six games and subsequently went on to compete in the Europa League where they lost to Red Bull Leipzig.