The 17-cap All Blacks fullback was removed from the Melbourne Cricket Ground for alleged behavioural issues.
One witness said the eviction came after members of Barrett's group "skulled two beers".
"Security were doing this repeatedly at the MCG for anyone who skulled two beers in a row," the witness said.
Victoria Police said two New Zealanders, aged 22 and 23, had been evicted and were banned from the MCG for 24 hours.
Fans reacted to the news on social media by creating the hashtag #justiceforjordie which was quickly retweeted by Barrett's All Black brother Beauden.
One Facebook user claimed they were present for the incident they said was innocent: "Was present for this as well. [Barrett] did absolutely nothing wrong. Feel sorry for the guy."
Barrett was filmed in the MCG stands earlier in the week, wearing an old Black Caps one-day international shirt.
Barrett is currently in the rugby offseason, after being part of the All Blacks' World Cup squad that were beaten by England in a disappointing semifinal exit.
They ended the tournament in third place after defeating Wales in the bronze match.
Barrett had a brush with the law in June last year when police were called to a house in Dunedin after the star ended up in a stranger's house in the early hours after a night out.
The 22-year-old brother of Beauden Barrett was discovered by two women in a Dunedin student flat about 5am.
Police and Otago University security were called to a property on Howe St when Barrett and friend Sam Casey were disturbed by the two women, who demanded they leave.
It is understood the utility back had been at a post-match function after his Hurricanes team lost a Super Rugby game against the Highlanders, 30-14.
Barrett later said he had mistaken the apartment for a friend's place.
"I can't say I'm embarrassed by what's happened, I'm just disappointed with the events that have unfolded," Barrett said.
"I don't believe I've caused any harm to anyone, haven't spoken to anyone, basically it was a human error, walked into the wrong flat and we left."
