Three other related grounds were also advanced in the bid.
The evidence in question was a schedule of spreadsheets prepared by Crown expert witness Michelle Peden.
It was not produced in evidence but provided to Queen's Counsel Colin Carruthers for his closing address to High Court Justice Robert Dobson.
But the Supreme Court today said that it was satisfied the grounds on which the recall application was based were "all misconceived".
"In refusing leave to appeal against conviction, the court was well aware that the Peden schedule had not been produced as a Crown exhibit or proved in evidence ... there is no injustice to the applicants in the fact that the schedule was not produced as an exhibit," the court said.
Chief Justice Sian Elias and Justices William Young and Susan Glazebrook said there had been a "substantial mischaracterisation" of what happened at trial.
"More generally, the recall application is very much a second shot, based in large measure on arguments which, if meritorious, could and should have been, but were not, advanced when leave to appeal was first sought," the judges said.
"In the result, counsel for the Crown have been required to chase a series of hares which the applicant ought never to have started," they said.
In light of this, the court is considering whether or not the Lombard four should pay costs for their application.
Sentences
Doug Graham: 300 hours of community work and reparations of $100,000.
Lawrie Bryant: 300 hours of community work and reparations of $100,000.
Bill Jeffries: 400 hours of community work.
Michael Reeves: 400 hours of community work.