The Light Blues face away trips on December 29 and January 2 in the Third Division and both matches will now be live on TV.
Ally McCoist takes his side to Hampden to face Queen's Park on December 29 with the game now scheduled for a 12.45pm start, live on Sky Sports.
Similarly the trip to Annan on the second day of the New Year will now move to a lunch time start with ESPN broadcasting live at 12.45pm.
Queen's Park v Rangers, Saturday December 29, 12.45pm
Annan Athletic v Rangers, Wednesday January 2, 12.45pm