Galatasaray accused Mourinho of “physically attacking” Buruk.
Fenerbahce later accused Buruk of “acting as if he had been shot” and said he had made “disrespectful hand gestures” to provoke Mourinho.
The Professional Football Disciplinary Board (PFDK) said they had taken Buruk’s actions into consideration, which resulted in Mourinho being given a reduced ban because of “provocation”.
Mourinho’s assistant Salvatore Foti was given a four-match ban for an “insult towards an opposing team player”.
Fenerbahce substitute Mert Yandas and Galatasaray substitutes Kerem Demirbay and Baris Yilmaz were shown red cards for their part in a melee between the two benches during stoppage time.
Midfielder Yandas, 30, has since been given a one-match suspension.
There was already increased tension between the two clubs after Galatasaray said in February they would “initiate criminal proceedings” against Mourinho after claiming he made “racist statements” following a goalless draw in February.
Fenerbahce said on Friday the Istanbul Chief Public Prosecutor’s Office had dismissed Galatasaray’s criminal complaint against Mourinho.
