Newcastle assistant manager John Carver and Wigan first-team coach Graham Barrow have each been fined £1,000 for their conduct after a half-time spat.
Tempers flared after Newcastle defender Massadio Haidara was caught by a tackle from Wigan forward Callum McManaman.
Carver and Barrow were given red cards for a scuffle during Wigan's 2-1 victory at the DW Stadium on 17 March.
Carver, 48, was also warned as to his future conduct, while Barrow, 58, will serve a one-match touchline ban.
The pair were charged with misconduct by the Football Association after the game in which French Under-21s international Haidara was taken from the field on a stretcher after the tackle in the first half.
Referee Mark Halsey took no action at the time and Football Association chiefs decided not to take retrospective action because one of the match officials had seen the incident clearly and decided it did not warrant punishment.