Tempers flared after the Ibrox club failed to beat their part-time opponents in the Irn-Bru Third Division showdown at Shielfield on Sunday.
It was the second consecutive league match that Gers had drawn on the road after a 2-2 stalemate at Peterhead.
But manager McCoist was pleased his charges were left fuming by the embarrassing result against the Borderers at the weekend.
And he is hopeful the passion Light Blues stars displayed will help them get back to winning ways against Falkirk in the Scottish Communities Cup tonight.
He said: "The players had a wee pop at each other after the game on Sunday and that was good. I stood back and just kept a watch on it. Had they come in and not said anything I'd have been worried. "I would have expected there to have been one or two voices heard in any dressing room with which I was involved as a player. It's important there are."
McCoist added: "They're still getting to know each other and once the window closes it will be an opportunity to blend them together still further, work on things and move forward.
"We've got some boys who have been here over the piece such as Neil Alexander and Lee McCulloch and we've mixed and matched with new faces and younger lads.
"There are one or two reasons why we have not hit the ground running in terms of our away performances and that's where we are at the moment.
"We were hopeless on Sunday. The performance was miles short. It must improve."
McCoist is hoping to bolster his threadbare Rangers squad with as many as six new signings before the summer transfer window closes tomorrow at midnight, while defender Kirk Broadfoot has gone the other way after agreeing to cancel his contract.
The Gers manager will be unable to sign any new players after that until January 2014 due to the year-long transfer embargo the Ibrox club has been hit with.
McCoist, who has Hearts and Scotland Under-21 winger David Templeton among his targets, said: "I would be really, really hopeful that we will get a few in over the next 24 to 48 hours. Charles [chief executive Green] has a list of players who we would like to get in. I am in constant dialogue with him. "Between now and tomorrow is critical for the club for the next two years."
He continued: "Kirk Broadfoot has agreed to have his contract made null and void. He is a great boy and a great lad.
"We as a club wish him all the best for the future."