A tense encounter with the clubs disputing refereeing decisions, allegations of misconduct and fan behaviour.
The final whistle sparked ugly scenes at Ibrox as supporters from both clubs entered the pitch.
The suspension covers league and FA Cup fixtures, but not European games or domestic cup finals.
Beşiktaş JK also called on the Turkish Football Federation to clarify who was present in and around the VAR center.
Fenerbahçe stated that bans have been imposed and legal proceedings have been initiated against those responsible.