Rangers - who were among the top seeds in pot 1 - have been drawn in Group C of the Europa League alongside Real Betis, Sparta Prague and Aris Limassol.
Meanwhile, Aberdeen will face Eintracht Frankfurt, PAOK and HJK Helsinki in Group G of the Europa Conference League.
Full fixture lists for both competitions are set to be confirmed by UEFA within the next 24 hours.
Group stage dates
Matchday 1: September 21
Matchday 2: October 5
Matchday 3: October 26
Matchday 4: November 9
Matchday 5: November 30
Matchday 6: December 14
