The Ibrox side were comfortable victors in the end as they overcame the Cypriot champions 2-0 on the night, providing a 4-1 aggregate scoreline in favour of the Scottish title holders.
However it would be wrong to suggest that the visitors didn't threaten Rangers' progress.
Indeed Temuri Ketsbaia's side dominated the opening 25 minutes with the Georgian himself at the centre of everything.
After firing well over twice in the early stages, the former Newcastle man rattled the crossbar with a ferocious 30-yard effort on 40 minutes.
Ronald Waterreus then denied Ketsbaia with a great save before the player-manager was brought down on the edge of the box by Jose Karl Pierre-Fanfan in what was close to being a penalty.
Rangers survived and from then on were in control. Thomas Buffel threatened before Dado Prso fired inches wide at the end of a great run on 28 minutes.
In the next ten minutes Prso headed wide twice and was unfortunate not to find the target with a lovely curling shot.
Then on 39 minutes Rangers broke the deadlock. Buffel found himself clear on the left and coolly lifted the ball over the visitors' goalkeeper.
Ketsbaia was again denied on the stroke of half-time and Rangers could have conceded a penalty when Julien Rodriguez appeared to foul Nikos Frousos.
Nacho Novo threatened at the start of the second half before man of the match Prso put the result beyond doubt on 57 minutes.
He collected the ball in the middle of the opposition's half and twisted and turned before firing a sweet cueling shot into the left-hand corner of the net.