Warburton had settled in seamlessly to life with the troubled Ibrox side since joining in the summer, and the former Brentford boss has guided his charges to seven straight wins in the Scottish Championship so far.
The Gers have also plundered 24 goals in the league, but Warburton's men slipped to their first reverse under their current boss when they were beaten 3-1 at home by St Johnstone in the Scottish League Cup to end an 11-game winning streak abruptly.
Speaking after the game, Warburton stated that his side's second-half performance was a much improved one, but James Tavernier's strike after the hour mark was a mere consolation against the visitors.
Murray Davidson, Simon Lappin and Michael O'Halloran had earlier given St Johnstone's a 3-0 lead, and Warburton is keen to learn from a dismal first-half showing as he ultimately looks to guide his squad back to the Scottish Premiership.
"We did okay, but in the first half, how many saves did their goalkeeper have to make? Crosses came in, and there were a few scrappy balls and 50-50s, but not enough quality to threaten their keeper," the Rangers manager told the club's official website.
"In the second half, we were a lot, lot better but we didn't get the break. If Nathan's header had gone in all of a sudden it would have been 3-2 and a different game – but the fact is it didn't happen so we have to learn from it.
"When you concede three goals you give yourself a mountain to climb. The group are obviously disappointed to lose and they've worked so hard and came a long way really quickly."
Rangers travel to Greenock Morton on Sunday.