After Monday's game ended in a 0-0 stalemate, the 62-year-old Mourinho said the home bench had been "jumping like monkeys".
He also repeated his criticism of Turkish referees.
"I told him (referee Slavko Vincic), thank you for coming here and being responsible for a great match," he said.
"I turned to the (Turkish) fourth official... If you are the referee, this match would have been a disaster."
Fenerbahce said that Mourinho's comments were taken out of context.
On Thursday, the Turkish football federation (TFF) disciplinary council handed down a two-match suspension for his comments against the fourth referee and two additional matches for his blast at the Galatasaray bench.
They were judged "contrary to sporting ethics".
Mourinho, whose team trail leaders Galatasaray by six points in the table, was also fined just over 42,000 euros.
Galatasaray manager Okan Buruk was also handed a one-game ban following post-match comments in which he criticised Vincic and called Mourinho 'the Crying One'.
