Steven Gerrard's side booked their place in Friday's draw with a 1-1 result against Ufa, despite finishing with nine men in Russia.
Leading 1-0 from the first leg, Ovie Ejaria's early goal put the Ibrox club in a strong position but Dmitri Sysuev equalised and Alfredo Morelos was then sent off for his second yellow card before the break.
Jon Flanagan was also dismissed midway through the second period but Rangers withstood sustained Ufa pressure to seal a 2-1 aggregate victory.
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