Ibra Sekajja equalised for Livingston on the stroke of half time after Haris Vuckic put Rangers 1-0 up in the ninth minute of their Scottish Championship match.
The Gers took the lead early on as Kenny Miller's defence-splitting through ball was latched onto by the on-loan Newcastle United midfielder, who then dropped his shoulder and easily rounded goalkeeper Darren Jamieson in the Livingston net.
The home side dominated possession at Ibrox, but struggled to double their lead as they were limited to just three shots on goal.
The away side managed to threatened the Rangers goal several times, but not enough to force Lee Robinson into any difficult saves.
However, the Rangers defence was caught napping just before the half-time whistle as Sekajja tapped in a rebound after Danny Mullen's header smashed off of the post and fell into the path of the striker.