"There's been all sorts of reports, all sorts of sources and all sorts of breaking news and breathless coverage, and I don't feel any need to respond to any of it," Cornwell told ESPN.
In announcing Ryan Braun's 65-game suspension last week, MLB cited violations of both the labor contract and drug agreement.
A person familiar with that deal, speaking on condition of anonymity because no statements were authorized, said 50 games of the penalty for the 2011 NL MVP were connected to Biogenesis. The additional 15 games stemmed from the Milwaukee outfielder's actions during the grievance that overturned his October 2011 positive test for testosterone.
Cornwell represented Braun in the 2012 hearing before arbitrator Shyam Das, but said he was not involved in Braun's agreement to be suspended.
Rodriguez, who turned 38 Saturday, has not played this season following hip surgery in January. The three-time AL MVP, fifth on the career list with 647 home runs, appeared to be on the verge of rejoining New York on July 22, but the Yankees said a day earlier that an MRI revealed a strained quadriceps.
Rodriguez pushed to be activated last Friday, but the Yankees said he wouldn't even resume a minor league injury rehabilitation assignment until Aug. 1. Rodriguez then went on a New York radio station to criticize the team's decision.
The Miami New Times story was prompted by information provided by Porter Fischer, an ex-Biogenesis employee.
"What's been made public are various documents that a disgruntled ex-employee of Biogenesis allegedly stole. I would imagine we'll spend time talking with the arbitrators about the documents and things of that nature, their authenticity, their relevancy, the reliability," Cornwell told ESPN.
Gary Smith, a spokesman for Fischer, responded in an email: "Cornwell can get in line with many others who want to attack Porter Fischer for exposing the truth and is left without support. He did it because it was the right thing to do."
Also Monday, Toronto manager John Gibbons said he thinks Blue Jays outfielder Melky Cabrera won't be penalized. Cabrera, MVP of the 2012 All-Star game, was banned for 50 games last year for a positive testosterone test while with San Francisco.
"We don't think anything's going to happen," Gibbons said. "We think, because he served his time, it's over with. I haven't given it much thought and the GM hasn't talked much about it."
AP Baseball Writer Janie McCauley and AP Sports Writer Tim Reynolds contributed to this report.
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