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".
Sydney bushfire still out of control and may have been deliberately lit
On Sunday, more than 500 firefighters in nearly 100 fire trucks, along with 15 aircraft, battled the blaze throughout the day. Many residents in Menai made a decision to remain at their homes and were kept busy fighting ember attacks.
"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.
Bus Crash-Stanley Cup,224
April 1-5, 2009, the Stanley Cup trophy Is Observed in the retail store, in NY of the National Hockey League. Forward Jacob Leicht, who was 19, is to be laid to rest in his home city of Humboldt.
"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.
ICICI Bank Limited (NYSE:IBN) Ratings Summary on April 15, 2018
Teacher Retirement System of Texas acquired a new stake in shares of ICICI Bank during the third quarter worth $110,000. Sandler O'Neill maintained Bank of America Corporation (NYSE:BAC) on Tuesday, January 9 with "Buy" rating .
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.