Varnish alleged Sutton told her she had "a fat arse" and to "move on and have a baby" after she failed to qualify for this year's Olympics, while Kenny said the Australian referred to members of the disability team as "gimps".
Malaysian cyclist Josiah Ng added to the controversy by claiming Sutton called him "Boatie", though the now-retired Commonwealth Games gold medalist believes the term was intended to be affectionate rather than racist.
"(It was) never in a negative context, but I don't know if he was aware it was derogatory," Ng told PA.
"It was always said in jest. That's who he is. He's old school that way.
"I don't think he's racist."
Sutton denies these allegations and, 100 days out from the Rio de Janeiro Olympics, says he stepped down to avoid a storm crushing Britain's potential cycling gold rush.
"It is absolutely crucial that, as our athletes begin their final preparations for Rio, they are able to do so free of distraction," he said in a statement on Wednesday.
"The developments over the past few days have clearly become a distraction.
"It is for this reason, and having spoken to friends and family, that I believe it is in the best interests of British Cycling for me to step down from my position as technical director."
Sutton welcomed the review into the allegations of sexism and discrimination which British Cycling announced on Tuesday.
"I have made clear that I reject the specific claims that have been made against me in recent days, and I look forward to taking a full part in the review process so I can respond to the allegations in detail," he said.
Despite the acrimonious exit, Sutton's contribution was acknowledged by British Cycling chief executive Ian Drake.
AAP jb/imc
-AAP
