Elsewhere, Algerian Madjid Bougherra is a doubt for Sunday's North African derby at home to Morocco.
But, although he held off the challenge of Madjid Bougherra, the striker's shot was collected by McGregor.
Rangers were without Madjid Bougherra in Perth after the central defender returned late from international duty with Algeria.
Bougherra believes he may have damaged a hamstring, putting his place in the tantalising Algiers clash in doubt.
After eight minutes, Russel found a yard in the Algeria box but headed wide under pressure from Madjid Bougherra.
His shot hit the post and an attempted clearance from Bougherra broke to Banda, who finally smashed the ball home.
With Sasa Papac and Madjid Bougherra still missing through injury injury, manager Walter Smith continued to experiment with striker Lee McCulloch in defence.
Charlie Mulgrew was dismissed for an alleged head-butt on Kyle Lafferty before Rangers Madjid Bougherra saw red for a challenge on Jamie Langfield.
But Rangers levelled 13 minutes from time when Bougherra worked a one-two with Jerome Rothen before driving past the out-stretched hands of Jens Lehmann.
Rangers are without defenders Madjid Bougherra and Andy Webster, while midfielder Maurice Edu and strikers James Beattie and Nikica Jelavic are all still missing.
Madjid Bougherra cracked in an angled volley on 26 minutes to brighten up what was a scrappy match, dogged by sloppy play from both sides.
Madjid Bougherra took advantage of poor marking to slam in the first goal for Rangers as they cruised to a 2-0 victory at Easter Road.
Madjid Bougherra and Steven Davis were stand-outs for Rangers last season.
Smith showed faith in 18-year-old Danny Wilson, who started in central defence in place of Madjid Bougherra, who had joined Algeria's African Cup of Nations squad.
Bougherra was seen grabbing the arm of referee Calum Murray as he was sent off in the Scottish Cup meeting with Celtic at Parkhead on 2 March.
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The 19-year-old played on the left-hand side of a three-man central defence and ventured forward to meet Madjid Bougherra's cross and head Rangers ahead on 24 minutes.
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The opening goal came when Ian Murray headed clear a Vladimir Weiss free kick and the ball fell to Bougherra on the right edge of the penalty area.
With Madjid Bougherra's intermittent absence this season through injury or international duty with Algeria, Wilson has seized the opportunity to partner David Weir in the centre of defence.
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"It's difficult to think about it just now, " said Bougherra.
Rangers centre-back Madjid Bougherra and his usual replacement in that position, Lee McCulloch, had succumbed to flu so Papac moved into the centre of defence with David Weir.
Regarding the tackle made by Bougherra, assistant referee Graham Chambers advised referee Stuart Dougal in the run-up to him showing the red card, which angered the Rangers boss.
As the first half came to close, a free kick from Whittaker found Madjid Bougherra beyond the back post but the big defender headed over from a tight angle.
In the same match, which Rangers won 2-1, Dougal also red-carded Madjid Bougherra after the defender caught Aberdeen goalkeeper Jamie Langfield with his boot while challenging for the ball.
Fellow centre-half Madjid Bougherra is also relishing the prospect of his first taste of the Champions League after ending an impressive debut season at Ibrox with a league winner's medal.
Four minutes into the second period, Egypt had another penalty shout when Motaeb again appeared to be felled in the box, this time by Bougherra, but no decision was given.
Meanwhile, Liverpool have had a bid rejected for teenager Danny Wilson, while fellow central defender Madjid Bougherra and midfielder Kevin Thomson have all been linked with moves away from Ibrox.
But Rangers soon moved ahead as Madjid Bougherra ventured forward and played a delicate one-two with Naismith before pulling back for Miller to turn home his 21st goal of the season.
Brown and Rogne had made way for Ki and Loovens respectively and Rangers made an enforced change of their own when Madjid Bougherra came off to be replaced by Kyle Hutton.
Rangers players El-Hadji Diouf and Madjid Bougherra have also been informed that they will be referred to the SFA's disciplinary committee on 12 April, for 'misconduct of a significantly serious nature'.
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