Ten-man Rangers lost 2-0 to Dynamo Kyiv at Hampden as their hopes of reaching the league phase of the UEFA Champions League came to an end.
After a 1-1 draw in the first leg, summer signing Jefte was sent off after 50 minutes after being shown two yellow cards by referee Marco Guida.
Oleksandr Pikhalyonok opened the scoring with eight minutes of the 90 remaining, firing low with a well-placed strike from just outside the box.
Nazar Voloshyn made it 2-0 two minutes later, directing a cutback into the net after a break down Rangers' right flank.
Rangers now move directly into the UEFA Europa League league phase.
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