"Nonsense ruling-out of Aussie try today, coach Cheika 100% correct/courageous to complain about lack of respect."
Despite being visually angered in the coaches box at the time of the ruling, Cheika was more reserved about the topic in the post-match press conference than the other controversies he discussed.
"Obviously I can't say anything because they've got you by the throat. But I've just never seen shepherding from behind before," Cheika said.
"Before any of that, though, we've got to own our mistakes. We turned the ball over too much."
Controversial Fox Sports commentator Rod Kafer was not as measured as Cheika about the decision, however, declaring referee Nigel Owens "should not referee a test match ever again".
"That is disgraceful. There is no doubt that decision destroyed the game for the Wallabies, and he should be ashamed of himself."
The Associated Press called Cheika "volatile", saying he "hit out at the All Blacks and the New Zealand news media".
AP wrote that Cheika revealed "a deep-seated sense of grievance" as he chose not to congratulate New Zealand on its record 18th straight test win, while also noting that he "complained bitterly" about the cartoon in Herald depicting him as a clown.
"Cheika's final complaint was that the All Blacks didn't invite the Wallabies to join them for a beer after the third Bledisloe Cup match. But he was unusually muted on the most contentious issue of Saturday's match: The decision of Welsh referee Nigel Owens to disallow a 45th minute try to Wallabies winger Henry Speight which would have tied the score at 15-15."
The loss now means the Wallabies' 30-year hoodoo at Eden Park will continue through to at least 2018, with the All Blacks hosting the Australians at Forsyth Barr Stadium in Dunedin next year.
Chieka and his side have had a dismal 2016 season, which has seen them win just three matches - one against the Springboks in Brisbane and a double over Argentina - from 10 outings.
A series loss against England at home and 14th consecutive Bledisloe Cup series defeat to the All Blacks mean that Cheika's side are the first Wallabies team in their 117-year history to be whitewashed 3-0 by two seperate nations in a single season.
The Australians will be hoping to salvage something from their season when they travel to Europe for the end-of-year tour, taking aim at a potential Grand Slam victory against England - who will be looking to make it 4-0 over the Wallabies this year - Wales, Ireland and Scotland.
They also take on France in Paris, as well as a non-test against the French Barbarians in Bordeaux.