The 44-year-old was left incensed by referee Simon Hooper's refusal to award Leeds a penalty in the first half when Andre Wisdom bundled over Ezgjan Alioski with the goal gaping.
And to make matters worse for Christiansen, Hooper gave County an 80th minute spot-kick for Hadi Sacko's foul on Tom Lawrence despite replays suggesting contact was made outside the box.
Sam Winnall stepped up to score the winner from 12 yards, the striker's second of the game after cancelling out Pierre-Michel Lasogga's early opener, to seal fifth-placed Derby's fourth consecutive win and condemn struggling Leeds to a sixth defeat in their last seven matches.
"In the mood that I am right now, it is better not to speak," Christiansen said.
"I believe all of you have seen the different situations in the game. There was a clear penalty in the 44th minute against Alioski. And the non-penalty that was given in the second half. Against that, I feel impotent.
"It is a shame for the players that they should suffer a defeat because of only one person took those decisions.
"It is difficult for me to control the situation when it is not in my hands. We didn't deserve it."
Leeds travel to Brentford on Saturday hoping to end their poor run of form.
"The defeat is very bad, another defeat, and we have to change," Christiansen added.
"We need the win on Saturday against Brentford.
"It cannot go on like that. But I am satisfied with the team. We need to continue and give it even more. On Saturday it is another final."
Derby boss Gary Rowett was still unsure where contact was made on Lawrence after having the luxury of seeing various replays.
"At the time, I couldn't really see because it was right in the far corner," Rowett said.
"I have watched it around five times and I still cannot work it out. It's not obviously inside and it's not obviously outside either, and it is very close.
"I can understand why Leeds a little bit disappointed by that."
On-loan Sheffield Wednesday striker Winnall took his goal tally to three in his last two matches, justifying Rowett's decision to start him at Elland Road.
"He has reacted brilliantly," Rowett added. "He got his deserved start and scored two excellent goals. He has got that real killer instinct in the box.
"There was nobody other than him taking the penalty."