Ally McCoist admits his SPL-standard players should have performed much better after Rangers crashed out of the William Hill Scottish Cup to Dundee United.
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With his side now plying their trade in the Irn-Bru Third Division, the Light Blues boss always maintained United were favourites to come through the fifth round tie.
But the home side needed just 16 seconds to open the scoring at Tannadice through Johnny Russell, who completed a double in the second half, after Jon Daly doubled the advantage, for a 3-0 win.
Rangers were without key players, such as influential skipper Lee McCulloch and youngster Lewis Macleod, for the trip to Tayside.
But they did have a starting line-up boasting players with recent experience of playing in the Clydesdale Bank Premier League - in the shape of Ian Black, David Templeton, Francisco Sandaza and Dean Shiels - and McCoist knows they failed to deliver on the day.
He said: "It was certainly poor. Probably our bigger SPL players should have done better today.
"I don't think it would be any good for me to be critical of individuals at this moment in time but I do take the point.
"It was a disappointing day for one or two of the boys who, with SPL experience, would hopefully have done better.
"When criticism is due and warranted, believe me, they get it. Some of the players got it today after the game.
"The flip side of the coin is that United knocked us out twice in the last three years when we had Allan McGregor, Nikica Jelavic, Steven Naismith, Steven Whittaker, Steven Davis.
"I'm not going to underestimate the disappointment but I'm not going to go crazy about the disappointment either."
Rangers responded to calls for a boycott from fans groups when they opted not to take their ticket allocation for the first away fixture against SPL opposition since they were denied entry to the top-flight after liquidation was confirmed in the summer.
A small band of 365 away supporters did attend the game but, although conceding Rangers missed their usual vocal support, McCoist denied the boycott had an impact on the result.
He said: "You would obviously miss it because the support have been with us all the way through the season.
"I would never say it was a factor in the defeat. Not at all. Far from it.
"Credit to Jackie [McNamara] and good luck to them.
"We definitely missed our support, that goes without saying because they have followed us all over the country.
"But it wouldn't be a major factor in the defeat."
Rangers were reduced to nine men in the latter stages, when youngster Kal Naismith was shown a straight red card, before Ian Black picked up a second booking.
McCoist said: "It certainly wasn't ideal. I can't really comment, I've not seen them again.
"It was disappointing. I didn't think there was a lot in Black's second tackle to be honest.
"These are just wee instances within the game; I'm more concerned with the quality of goal we lost."
The victory provided new United boss McNamara with the perfect start to his tenure, after replacing Peter Houston at the helm in midweek.
He said: "It was a great start to the game and I thought we carried a real threat and could have had a few more goals.
"We are delighted just to get through.
"We've got some good players in the dressing room and you can see the threat we carry throughout the team.
"I was also delighted to keep a clean sheet for the first time in nine games.
"I know what's there and, looking at the team beforehand, I thought they were underachieving a little bit.
"It was the first home win since August. We know there is potential there and hopefully the players get a massive lift."