Cipriani was named on the bench for last weekend's league match with Leicester, but was an unused substitute.
Cipriani missed out on selection for the British and Irish Lions' tour to South Africa.
Johnson told Carling that, despite speculation of a fall-out, he has not written Cipriani off.
Sale scrum-half Richard Wigglesworth joins Vainikolo, Cipriani and Croft as the uncapped members of the squad.
"A constant theme has been the number 10 situation, me and Danny Cipriani, " he said.
Cipriani's first penalty arrived in the second minute after the visitors collapsed a scrum.
But the Newcastle centre, who had taken Cipriani's offload at pace, was held up just short.
Cipriani duly added the extras, converting from the touchline to keep his unblemished record intact.
Cipriani looked to have scored the first try of the game after 50 minutes.
Fly-half Danny Cipriani increased the lead with two penalties but that was matched by Shane Geraghty.
Goode played down his contribution and his personal duel with opposite number Danny Cipriani.
However, Edinburgh let the slender lead slip, with Cipriani slotting another penalty and Rees plunging over.
Cipriani trimmed the gap with a penalty and then conjured a sizzling break from his own 22.
The other three backs left out are full-backs Nick Abendanon and Dan Cipriani and centre Toby Flood.
Cipriani went well wide with a long-range penalty attempt, but the resulting 22m drop-out proved a turning-point.
Danny Cipriani landed two penalties in a mixed display but Australia sealed victory with Adam Ashley-Cooper's try.
The England bench is also unchanged, meaning no place for fly-half Danny Cipriani with Andy Goode preferred.
Flood is likely to vie with Danny Cipriani for the England fly-half berth in the November internationals.
Some intense pressure and incisive passing ended with Sackey going over on the right, Cipriani adding the extras.
Cipriani looked to have scored a decisive try, but it was ruled out by the television match official.
Cipriani partners Danny Care at half-back, the Harlequins number nine keeping the fit-again Harry Ellis on the bench.
Cipriani struck again before Mark Robertson pounced on a diagonal from Phil Godman to bag a home try.
And in Cipriani and O'Gara, Wasps and Munster had two men playing at the top of their games.
"Since my injury in May this has always been my target to get back and ready for, " said Cipriani.
Danny Cipriani kicked 18 points on his first start while Paul Sackey, Mathew Tait and Jamie Noon all crossed.
Cipriani had been playing some superb rugby but as he tried to haul Wasps level his judgement deserted him.
But Cipriani said he could play in England during the Super 15 off-season.
Cipriani cut the gap to six with two penalties, either side of half-time.
But the impressive Cipriani did what his team-mate couldn't and sent over a penalty shortly after to level the scores.
Cipriani landed his second penalty to make it 13-6 before Eoin Reddan's box-kick yielded an equalising try on the half-hour.
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