Rangers took a firm grip on a place in the last 16 of the Europa League when they won 4-2 in the first leg of a playoff round in Dortmund on Thursday.
James Tavernier gave Rangers the lead with a 38th-minute penalty after a handball by Dan-Axel Zagadou from a Rangers corner.
Three minutes later, Dortmund again failed to cope with a Rangers corner. Joe Aribo nodded the ball to the far post where Alfredo Morelos was unmarked and scored from a few inches.
Borussia Dortmund named the same starting lineup that won comfortably at Union Berlin in the Bundesliga on Sunday but struggled to cope all evening.
At half time coach Marco Rose brought on Youssoufa Moukoko and Giovanni Reyna at half-time but it made no immediate difference.