Following Gibbs-White’s dismissal in the 83rd minute due to a second booking, both managers were also sent off.
The Forest midfielder is accused of acting inappropriately and/or verbally abusing and/or demeaning fourth official Anthony Taylor.
Nuno and Hurzeler face charges of improper behavior, and the Portuguese national is also accused of using derogatory and/or abusive language directed at a match official.
The group has until Friday, September 27th, to react.
After falling into Brighton’s Joao, Gibbs-White received a second yellow card.
Referee Rob Jones ejected Hurzeler and Nuno for their responses to the incident on the touchline at the conclusion of the thrilling 2-2 draw, which kept both teams’ perfect starts in the Premier League.
Hurzeler won’t be in the dugout when Brighton plays Chelsea at 15:00 BST on Saturday, while Gibbs-White and Nuno will miss Forest’s home league match against Fulham.