Mourinho grabbed across Okan's face, with the Gala coach falling screaming on the turf last week.
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The Professional Football Disciplinary Board (PFDK) have handed Mourinho a three-match ban, noting the suspension could've been longer but it was reduced due to "provocation" from Okan.
Fener had argued in the lead-up to the ruling that Okan had made "disrespectful hand gestures" to provoke Mourinho.
Mourinho's assistant Salvatore Foti was given a four-match ban for an "insult towards an opposing team player".
Gala won the game 2-1 against Fenerbache on the night.