Robinson, 36, of Luton, Bedfordshire was jailed for nine months at the Old Bailey for contempt of court.
The former English Defence League leader was found guilty of contempt of court last week and faces up to three years in jail.
The former leader of the English Defence League blamed a social media ban for his failure to win a seat in the North West.
Greater Manchester Police said people responsible for throwing bricks and eggs during the event in Oldham would be dealt with 'robustly'.
The man, named by the Mirror as Danyal, said he had no intention of reacting but the milkshake 'slipped' out of his hand in Warrington, Cheshire.
Robinson gave a speech as it was announced Theresa May's agreement had been defeated in the Commons.
A march led by far right figurehead Tommy Robinson was "vastly" outnumbered by counter-demonstrators, organisers said.
Mr Robinson has been named as the ‘Special Personal Adviser’ to current Ukip leader Gerard Batten.
Nigel Farage has condemned UKIP's decision to appoint far-right activist Tommy Robinson as an adviser and called for the party's leader, Gerard Batten, to stand down.
Tommy Robinson was not granted a visa in time for a planned US speaking tour which could have raised £1 million.
A group of British MPs urge U.S. Secretary of State Mike Pompeo not to allow anti-Islam activist Tommy Robinson into America.
Former EDL leader Tommy Robinson was back at the Old Bailey on contempt of court charges.
The former English Defence League leader was greeted by cheers from more than 100 people gathered outside court.
Raheem Kassam urged Nigel Farage to return as Ukip leader and denied that he, Tommy Robinson or Steve Bannon are 'far-right'.
The former English Defence League leader was released from HMP Onley in Rugby on Wednesday.
Police want to identify nine individuals from the protest at the imprisonment of the former English Defence League leader.
Senior judges at the Court of Appeal will hear the appeal by former EDL leader Tommy Robinson against his jail sentence for contempt of court.
Robinson, 35, whose real name appeared on court documents as Stephen Yaxley-Lennon, admitted publishing information that could prejudice an ongoing trial.