Andy Halliday opened the scoring with a penalty after a foul on Barrie McKay...
Josh Windass scored his first competitive goal for the club to make it 2-0 before half-time...
Before debutant Joe Dodoo sealed it with an injury-time goal.
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VIDEO: All the goals from Rangers 3-0 win over East Stirling
Rangers kept up their 100% record in the Betfred Cup before Monday's final group game at home to Stranraer.