Whyte was last week reported to be planning legal action in an attempt to regain control of the club's assets, claiming he was the main driver behind the Sevco 5088 company which purchased the assets and business of the company he had put into administration.
Days later, Green transferred the assets - which were bought for £5.5million in June last year - to a different company called Sevco Scotland, which then became The Rangers Football Club.
In angrily dismissing Whyte's claims last week, Green said: "It is alleged there is a letter which agrees Mr Whyte and a business partner of his, Aidan Earley, would have a majority shareholding in Sevco 5088. If there is it wasn't signed or endorsed by me."
A report on STV on Friday evening showed what appeared to be documentation confirming Whyte as a company director of Sevco 5088.
But in the latest salvo in the war of words between the two men, Green issued a fresh statement denying the validity of the paperwork shown.
The statement, on Rangers' official website, read: "Mr Green is appalled by this blatant attempt to discredit him.
"These documents are not correct or valid and he did not sign Craig Whyte or his associate on as directors of Sevco 5088.
"Mr Green was the sole director of Sevco 5088 until he resigned and became the founder director of Sevco Scotland, formed by Scottish solicitors.
"If this documentation was correct then, as Sevco 5088 was formed as the initial bid vehicle, the administrators would have been negotiating a sale of the club to a company which had a director who was clearly forbidden from being involved with it.
"Furthermore, it should strike people as deeply suspicious that these documents are being filed today 11 months after they were supposedly signed and on other documents Mr Green's home address has been mysteriously changed without his knowledge.
"Furthermore, notice was filed publicly in January this year by Field Fisher Waterhouse and is on record at Companies House company seeking to strike off the company, yet four months later directors appointments are now being supposedly filed.
"As stated previously these matters are now in the hands of lawyers who are preparing a file to be sent to Police Scotland and Mr Green cannot comment further on the details of that process."