Steven Gerrard’s side have found the going tough at Livingston this season having drawn 0-0 and required a late Alfredo Morelos goal to see off the West Lothian side earlier this year.
It looked to be the same from the early exchanges with Livingston playing a high offside trap against Kemar Roofe and Alfredo Morelos but Rangers eventually broke the deadlock through a James Tavernier penalty after Ianis Hagi was fouled by Max Strjycek.
Livingston passed up several second half chances, hitting the crossbar and post, but Rangers were far more clinical with Ryan Kent converting a passing exchange with Alfredo Morelos and Hagi striking the third from sub Cedric Itten’s pass.
Now, it’s on to Aberdeen on Saturday’s trophy celebration day at Ibrox.
Here is how the Rangers players rated in their final away day of the season.
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9. Ianis Hagi - 8
Another quietly effective performance and consistently involved when it matters. Clever to win penalty for opener and usual high work-rate for team-mates, taking hits and late run to stroke in the third. Photo: Rob Casey - SNS Group
10. Kemar Roofe - 7
Good control and footwork but caught out by Livingston's offside trap early on. Clever step-over created opening for Rangers first-half penalty but never looked too likely of scoring. Photo: Rob Casey - SNS Group
11. Alfredo Morleos - 7
Kept composure after early booking and unselfishly laid on the second for Kent with clever pass exchange. Photo: Rob Casey - SNS Group
12. Steven Gerrard
Short-handed by injuries and suspension, still moved one point from treble figures with victory and another clean sheet. Minutes given to Itten, Simpson and debut for King will stand all in good stead for future. Photo: Rob Casey - SNS Group