It will be seen as yet more points dropped on the road by the Gers, though, bringing the new total to 10.
Following on from a quiet first-half, in which the Ibrox outfit dominated, the hosts took the lead shortly after the break against the run of play.
Jonah Ayunga fired a rebounded effort into the bottom right-corner of Rangers' net in the 47th minute.
After a VAR review, the visitors were awarded a penalty in the 83rd minute - much to the joy of the Gers, who had protested a foul.
Tavernier made no mistake from the spot a moment later, to level the score at and rescue a point.
Ryan Kent was close to snatching a win for Rangers in additional time, but goalkeeper Trevor Carson was equal to the effort.
With another disappointing result on the board, pressure on Giovanni van Bronckhorst grows.
