James Tavernier gave Rangers the lead with a thirty eighth-minute penalty after a handball via Dan-Axel Zagadou from a Rangers corner.
Three minutes later, Dortmund once more didn't deal with a Rangers corner. Joe Aribo nodded the ball to the far put up where Alfredo Morelos become unmarked and scored from some inches.
Borussia Dortmund named the equal starting lineup that won without difficulty at Union Berlin within the Bundesliga on Sunday however struggled to cope all nighttime.
At 1/2 time coach Marco Rose introduced on Youssoufa Moukoko and Giovanni Reyna at half of time however it made no instantaneous difference.
Four mins after the break, Ryan Kent, who tormented Dortmund all night time, dribbled down the left and discovered John Lundstram who scored with a powerful strike for the 1/3 Rangers purpose in eleventh minute
Two minute later, Jude Bellingham responded for the home group with a rasping left-foot shot.
But minutes after that, Rangers scored once more as Zagadou, trying to deprive Morelos of some other faucet in, deflected the ball into hs personal intention.
Raphael Guerreiro replied with 8 minutes left with a ferocious long-variety left-footer.
Rangers survived with out in addition scares to put themselves in function to take revenge for a heartbreaking loss while the 2 teams remaining met, inside the first knockout round of the competition, then called the UEFA Cup in 1999.
