It said Nuno, Gibbs-White and Hurzeler all admitted to their respective charges, with the punishments enforced by the independent regulatory commission.
Forest had asked for more time to prepare a response having initially been given until 27 September.
Nuno apologised for his reaction to the officials, including referee Rob Jones and fourth official Anthony Taylor, and had hoped his contrition would lead to leniency.
However, not only was the Portuguese manager given a two-match ban for this specific incident, a one-game suspended ban – for comments following Forest’s 2-0 defeat at Everton in April – was also activated.
They came after Forest’s controversial social media post which called VAR Stuart Attwell’s integrity into question.
Last week, the club was fined £750,000 for the post, which was seen over 45 million times.