Jonathan Tuffey saved from Roberto Colautti's shot while Kyle Lafferty headed over in the dying minutes.
Kyle Lafferty slotted in the second as United were caught pushing for a reply.
With Kyle Lafferty and George McCartney among the absentees, the Northern Ireland team largely picks itself.
Combe was booked in injury time for dissent after being unhappy with substitute Kyle Lafferty's challenge.
Injuries to Kenny Miller and Steven Davis meant starts for Darcheville and Kyle Lafferty up front for Rangers.
And Rangers' Kyle Lafferty was fortunate not to be sent off for a lunging challenge on Andreas Hinkel.
Kris Boyd's superb turn and shot opened the scoring after 17 minutes and Kyle Lafferty volleyed Rangers' second.
Changes were needed and Worthington brought Kyle Lafferty and Evans on for Healy and McCann after 67 minutes.
Rangers secured a point when Nacho Novo set up fellow substitute Kyle Lafferty to net on 76 minutes.
Kyle Lafferty, George McCartney, Sammy Clingan, Andrew Little and Chris Brunt are also ruled out of the match.
"Kyle Lafferty is under contract at Burnley for two more years, " said Coyle.
The visitors improved after the break and Kyle Lafferty saw his shot tipped round the post by Mladen Bozovic.
Kyle Lafferty handled in the Rangers box in the first-half but escaped the award of a penalty against his side.
Meanwhile, Rangers say the knee injury to Kyle Lafferty, carried off against PSV, is not as bad as first feared.
BBC: Rangers' Kyle Bartley misses cup final with knee injury
Worthington has named five strikers in all with record scorer David Healy, Kyle Lafferty, Martin Paterson and Andrew Little all included.
Damien Johnson, Kyle Lafferty and Grant McCann are being tipped to play in midfield with Martin Paterson partnering David Healy up front.
Kyle Lafferty volleyed wide for the visitors in a scrappy first half and the striker was denied by keeper Samir Handanovic's 64th-minute block.
Kyle Lafferty dropped to the bench as on-loan Manchester City winger Vladimir Weiss retained his place to make his first Champions League start.
And Falkirk were made to pay for their miss 10 minutes later when Kyle Lafferty crossed for Velicka to score from close range.
Steven Whittaker's back-post cross was headed into the six-yard box by Kyle Lafferty and Boyd raced in to volley past goalkeeper Graham Stack.
Charlie Mulgrew was dismissed for an alleged head-butt on Kyle Lafferty before Rangers Madjid Bougherra saw red for a challenge on Jamie Langfield.
The Hibs keeper was then at full-stretch to stop a raking 20-yard drive from Steven Davis after a neat lay-off from substitute Kyle Lafferty.
Already ruled out by injury and illness are captain Aaron Hughes, Chris Brunt, Kyle Lafferty, Maik Taylor, Craig Cathcart, Sammy Clingan and Jonny Gorman.
However, lone striker Kyle Lafferty could not reach it and Steven Whittaker was penalised for a foul as he slid in at the back post.
Steve Davis, Grant McCann, Sammy Clingan and Damien Johnson is the likely combination in midfield, with Kyle Lafferty set to partner David Healy in attack.
On Saturday, the official sent off Aberdeen's Charlie Mulgrew after Rangers opponent Kyle Lafferty had feigned a head injury as the pair confronted each other.
Kyle Lafferty and Jonny Evans went close for the visitors in the first half while Niall McGinn missed an open goal just after the break.
Stephen Craigan and Steven Davis have been ruled out by groin injuries, Kyle Lafferty has a foot injury and George McCartney is out with an ankle problem.
The former Republic of Ireland manager Kerr, whose parents are from Belfast, saw his side lead through Christian Holst before being pegged back by Kyle Lafferty's equaliser.
Asked about Kyle Lafferty's weekend sending-off for Rangers, which came after a silly booking in the recent friendly against Montenegro, Worthington said that he would "not tolerate indiscipline".
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