Gerrard, who was banned for the following game against San Marino, accused Cakir of being card happy, saying: "I don't think there was a bad tackle in the game."
The referee showed Cahill a straight red card in Chelsea's Club World Cup final defeat to Corinthians after the defender kicked out at Emerson in the final minute of the game.
The referee's most contentious red, however, was reserved for Nani, with Cakir provoking outrage by dismissing the winger for a waist-high challenge on Alvaro Arbeloa in United's Champions League last-16 second-leg defeat to Real Madrid in 2013.
United had been leading 1-0 at the time and were ahead in the tie on away goals but went on to lose the game 2-1 and crashed out of Europe 3-2 on aggregate.
Ferguson was left "distraught" by the decision, which saw Rio Ferdinand sarcastically applaud Cakir after the final whistle and the referee receive abuse and death threats via Twitter.
This will be his second World Cup semifinal after he took charge of Argentina's 2014 win against Holland.
It will also be his third match at Russia 2018, following Iran's Group B victory over Morocco and Argentina's Group D win over Nigeria.