Both managers were shown red cards in a feisty Premier League clash, during which Forest's Gibbs-White was sent off for a robust tackle which earned him a second booking.
The midfielder appeared incensed by the decision as was Nuno who was sent off along with Hurzeler for "unacceptable technical area behaviour" following the incident.
"Nuno Espirito Santo, Morgan Gibbs-White and Fabian Hurzeler admitted to their respective charges," the FA said in a statement.
"The independent Regulatory Commission imposed a two-match touchline suspension and £55,000 ($71,753) fine on the Nottingham Forest head coach, which activated a further one-match touchline ban that had been suspended."
The FA added that Gibbs-White had also been given a one-match suspension and a 20,000 pounds fine, while Huerzeler was fined 8,000 pounds.
