But the case was referred back to Attorney General Geoffrey Cox, whose decision to cite public interest in bringing fresh proceedings against Robinson was approved by High Court judges back in May.
Giving reasons for the contempt finding on Tuesday, Dame Victoria said Robinson encouraged "vigilante action" in the video, which lasted an hour-and-a-half and was viewed online 250,000 times on the morning of the broadcast.
Judge Victoria Sharp reportedly told Robinson on Thursday that previous time he has spent in prison would be taken into account for his new sentence - cutting it down to 19 weeks.
Robinson was jailed for 13 months after being found in contempt of court on the day of the broadcast.
Scores of Robinson's supporters had gathered outside the court on Thursday, chanting his name and waving flags.
Anyone found in contempt of court can be jailed for up to two years, receive an unlimited fine, or both.
In her sentencing remarks, Dame Victoria Sharp told Robinson, of Luton in Bedfordshire, that "nothing less than a custodial penalty would properly reflect the gravity of the conduct we have identified".
"This does not increase his sentence, but it does mean that there can be no reduction for an admission of guilt".
In a written verdict they found that he had created "a real risk that the course of justice would be seriously impeded".
In most cases when someone is alleged to be in contempt of court, the matter will be referred to the Attorney General.
Cox welcomed the sentencing in a statement.
A British judge has sentenced far-right activist Stephen Yaxley-Lennon to a total of nine months in prison for contempt of court.
Posting material online that breaches reporting restrictions or risks prejudicing legal proceedings has consequences, and I would urge everyone to think carefully about whether their social media posts could amount to contempt of court.
A retrial was ordered after Robinson appealed the sentence with the lord chief justice, Lord Burnett of Maldon, saying the ruling was "flawed".
"He doesn't care about the victims of grooming, he only cares about himself".
He referred to the sentence as an "absolute joke", having arrived at court in a t-shirt that said "Convicted of Journalism" with a design comparing the United Kingdom to North Korea on the back.
"So far this year, he's been humiliated at the ballot box, kicked off social media platforms for hate speech, jailed for contempt, and it's only July".
His lawyer was forced to apologise when he arrived late for court.
Following his sentencing, Robinson's supporters marched on Parliament and according to PA verbally abused and physically intimidated journalists filming on College Green.