And only two weeks ago, the MP said he had met with Facebook executives urging them to take decisive action to stop hosting the neo-Nazi station - which has lauded the manifesto of Brenton Tarrant, who is accused of carrying out the killing of 50 Muslims at two Christchurch mosques on Friday.
Mr Doughty said: "There has been no substantive action, or legislative change taken against the social media companies as far as I can see," he said.
"Robust action is needed - not words."
In January, the Mail on Sunday reported that British far-right extremists were broadcasting vile racist programmes on Radio Aryan – but Government regulators are powerless to shut it down.
Jeremy Bedford-Turner, an ex-soldier, was revealed to be a major sponsor and contributor to the station.
Another key contributor of Radio Aryan is Laurence Nunn, 65, an ex-City financier who was previously an organiser for the BNP.
The station has broadcast material from members of the now proscribed National Action neo-Nazi organisation.
Broadcasting regulator Ofcom cannot intervene because it does not regulate any of the platforms Radio Ayran appears on.
Mr Tarrant openly referred to broadcasts on far-right online channels in his sordid manifesto, written ahead of the Mosque attacks which have shocked the world.