Stand-in boss Lee Makel took responsibilty for Cowden’s defeat at Ibrox after the hosts netted three late goals on Saturday.
Makel stood in for boss Jimmy Nicholl while he was away assisting Northern Ireland boss Michael O’Neill for the Euro 2016 qualifier with Finland and admitted he was to blame.
Kudus Oyenuga levelled for the Fife side 13 minutes from time after Nicky Clark had put Rangers ahead, but a goal from Darren McGregor and Haris Vuckic’s late double saw off the Blue Brazil.
Makel said: “I went for it a wee bit after they got the second goal and went 4-3-3.
“The last two goals were down to how I changed it the formation which was just because I wanted to get something out of the game.”
The result leaves Cowden in ninth place, a point behind Alloa, who drew 2-2 with bottom club Livingston, and facing a play-off to retain their Championship place.
Rangers, on the other hand, now have sights set on a return to the top flight.
Boss Stuart McCall registered his first win as manager last week with the 2-0 win over Hibs and saw his team follow that up to clinch their first home win in almost three months.
Those back-to-back wins now move the Ibrox side level with Hibs in second place with a game in hand.
With seven games to play, the Gers hope they can now finish as runners-up and spare themselves the effort of having to play an extra two games in the play-offs.
Newly-crowned second-tier champions Hearts are next up at Ibrox on Sunday but McCall insists Rangers will march into that clash with confidence.
He said: “I feel like we’ve got some momentum now.
“It was a big one on Saturday because we did not want to slip up after such a big performance at Easter Road last week.
“The quality was great at times. David Templeton came in and had a great link-up with Lee Wallace and there were lots of other great performances for us too.
“I’d be lying if I said I hadn’t checked the Hibs score straight away. You always come off the park and check how your nearest rivals have done.
“All we can do is keep putting in performances like that and keep picking up the three points, but it certainly helps when we are winning.
“The momentum and belief begins to grow then.
“When I first came into the club, everyone could see the morale and confidence of the players was low, so more results like that will only build it.
“There’s still a long way to go but the good thing now is that we don’t play again until next Sunday so we can take our time on the training ground. But we need to keep this roll going now.”