Rotherham boss Matt Taylor says Howard Webb and Robert Madley visited him to apologise for a decision during the 2-2 draw against Rovers.
Luton loanee Fred Onyedinma was shown two yellow cards in quick succession - the first when he celebrated by the fans and the second for gesturing for a Rovers player to be cautioned.
Webb, the head of Professional Game Match Officials Limited, went to speak with Taylor along with Madley, the main official last weekend, and head of Championship referees Kevin Friend.
The Rotherham boss says the three-man party admitted Onyedinma should not have received his first booking.
“In my office I was lucky to have Howard Webb, Kevin Friend and the referee from last weekend Mr Madley,” he said. “They were all here talking through the weekend, the way it unfolded.
“The apology, which we’ve had two weeks on the bounce now, was for the first yellow card and that shouldn’t have been a yellow card. We know that, the referee knows that, everyone knows that.
“But it was given as a yellow card and the second yellow card is justified. I had three people in my office talking honestly and openly about how they want to improve.
“They’ll only improve if we’re right as well, if I improve as a manager, if my team improves in terms of their conduct and the way they work.
“The game will only get better off the back of everyone working together, and the overriding feeling was that players are struggling a little bit with the changes and how strong some of the officiating has been at the moment, and also the officials are struggling at the moment with their changes.”
Taylor believes the current rules in the EFL should be changes so clubs can appeal against yellow cards.
“If they’ve admitted to the mistake or owned up to the mistake then we’ve got to be able to appeal yellow cards because we can’t afford to have a player missing who shouldn’t be missing this weekend,” he added.
“The referees agreed with that, It’s not the referees, that’s not their law, that’s not their rule.
“They don’t want to make mistakes and they don’t want to see teams punished on a double-level basis when it does happen.”
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