Klopp confirmed after the game that he would not take charge of the match with Liverpool's youth team players set to feature, as it coincides with the winter break.
But Accrington chief Holt wants action taken against the Premier League leaders for their treatment of the competition.
"This is a battle the FA must win or their flagship competition is totally undermined. This is a battle EFL must win, or they should shut up shop," he wrote on Twitter.
"Liverpool need censuring and fining heavily. It is not their football, it's ours.
"The path we are on, forever losing out to the Premier League has to stop.
"It might have to be government or supporters that have to fight for our game in the end.
"In the absence of strong FA or EFL there may be no other option.
"We have stadia sales, clubs suing each other, non payment of wages, clubs going out of business after being kicked out...
"Just how much more evidence is needed for FA and EFL to see it has gone too far?
"Football is in distress. Act for our pyramid or leave."