Midfielder Nedim Bajrami wasted no time in scoring his first goal for the Ibrox club, finding the back of the net in under a minute. Philippe Clement's side had multiple opportunities to double their lead before the interval, but were unable to capitalize on them.
The Swedish champions, who had not lost to Rangers in four previous meetings in Champions League qualifiers, piled pressure on after the break but still the Scottish side missed chances to add to their lead before substitute Ross McCausland fired in a superb second in the 76th minute to seal the win.
It was the biggest test for the Ibrox outfit since they lost 3-0 to Celtic at the start of the month and they came through with flying colours.
Clement's side can take confidence into the William Hill Premiership game against Hibernian on Sunday, live on , before they host French side Lyon next week in the second of eight Europa League fixtures.
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