The Gers played out a 2-2 draw with Morton at Ibrox in Glasgow in the Scottish Championship.
Kenny Miller put Rangers in the lead as early as the second minute, but an own goal from James Tavernier saw the visitors restore parity.
Stefan McCluskey scored on 82 minutes to make it 2-1 to Morton, but just moments later Martyn Waghorn equalised for Rangers.
The draw was unexpected and disappointing for Rangers, but manager Warburton has made it clear that the players are not too downbeat about it.
“There are no excuses, we were poor today, the players would be the first to admit it, they are a really honest group,” the Englishman told Rangers’ official website.
“All credit to Morton and there is no doom and gloom, the players recognise we lost a good opportunity today but we showed the character again right to the end.
“A bit more quality and we could have got the points we wanted but no excuses, recognise when you are below par and then find the solution and keep getting better.”
Rangers are at the top of the Scottish Championship table with 41 points from 16 matches.
The Glasgow outfit are three points clear of Hibernian, who are second in the standings and are their main rivals for the league title.