Mark Warburton's men came out on top with a 4-0 win at Hampden Park.
Steven Noble has admitted that he expected Rangers to be complacent during their Challenge Cup final against Peterhead due to their upcoming Scottish Cup semi-final clash with Celtic, The Scottish Sun reports.
Despite wrapping up the Scottish Championship title in their previous encounter, the Gers went into the game off the back of one of their shakier periods of form this season.
Nevertheless, Mark Warburton's men thrashed their opponents 4-0 with James Tavernier, Andy Halliday and Kenny Miller all getting on the scoresheet after an own goal had broken the deadlock.
And the Scottish League One side's captain conceded that he did not expect to see such a dominant performance from the Light Blues.
"There were no signs of them going through the motions, which is a compliment to us," he told The Scottish Sun.
"Last week we did that and we lost 2-0 to Forfar. Everyone had their eye on this one, no one wanted injuries or red cards.
"I thought they would be like that but there was no sign of it. The only thing they did was protect a couple of players when they had the lead.
"I suppose their places were up for grabs for the Celtic game and if they hadn't played well then they wouldn't be in the team."
With just one week separating the Gers' two trips to Hampden Park, the fact they were coming up against lower league oppostion and the obvious significance that comes from an Old Firm game, Rangers may have been forgiven for performing in the manner that Noble had expected them to.
While winning a trophy of any level of prestige is a tremendous achievement, most Rangers fans would surely prefer to get a victory over Ronny Deila's men on Sunday if it came down to a choice between the two games.
However, with an excellent performance in the bag, the team can now do what the Peterhead skipper had hoped they would do before Sunday and focus entirely on trying to beat the Hoops this weekend.