Carlos Martinez fired the Bonney Field side ahead in first-half injury time with a superb curling strike from 20 yards which left Rangers goalkeeper Cammy Bell with no chance.
However, Ally McCoist's men turned matters around in the second half to give Rangers their third win this pre-season.
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Susbsitute Darren McGregor, on for Bilel Mohsni at the break, rose to head Lewis Macleod's corner kick into the net for his first goal for the Ibrox club.
In what was an improved performance following the 3-1 defeat by Ventura County Fusion, Ian Black - also on from the bench - scored a dramatic late winner from a Kenny Miller pass to flick the ball high into the net from five yards.
Rangers will now travel to Canada as they continue their preparations for the 2014/15 season with a game against Victoria Highlanders tonight.