A week of sniping between Jones and Wallabies coach Michael Cheika ended with the former holding a 4-0 record against the latter this year.
Cheika's frustrations with referee Jaco Peyper could be clearly seen during the game, and Peyper's decision to sin bin winger Dane Haylett-Petty for innocuous contact with Mike Brown was unjustified.
But in the end, England were simply superior.
By Tom Decent of Sydney Morning Herald
Eddie Jones - 4. Michael Cheika - 0.
England have continued their dominance over the Wallabies, running out 37-21 winners at Twickenham on the back of a sensational second half from the hosts that will only reopen the wounds of a humiliating series whitewash in June.
For all the verbal barbs leading into the match, Jones can, for a remarkable fourth time in 2016, take bragging rights over Cheika, who now has the unfortunate distinction of being in charge of the first Wallabies team to lose nine matches in a calendar year.
As another chapter closes, England have genuinely shown that they are capable of pushing New Zealand as the world's best team.
Their improvement under Jones has been rapid but this latest defeat will be an extremely bitter pill to swallow for Cheika in what has been a fascinating rivalry between two head coaches who wear their heart on their sleeve.
By Paul Rees of the Guardian
On a day of milestones, England's total of 37 points was their highest against Australia here and only once have they beaten the Wallabies by a greater margin. And they only turned up for the second half.
Eddie Jones spent the week saying he was going to point out to the referee, Jaco Peyper, that Australia did not scrummage to the letter of the law while the Wallabies complained about Dan Cole's technique. The South African's response was to let the two sides get on with it, conniving at collapsing and popping out.
The Wallabies trained at Harrow School in the week, but they made an Eton Mess of their final match of the year.
By Steve James of the UK Daily Telegraph
England's 13th victory from 13 in 2016, and a record-equalling 14th consecutive success for them, came in an utterly compelling match, a quite brilliant advertisement for the game.
It was England's sternest examination of the year, because this was an Australian side in so much better shape than last summer, and in the first quarter the visitors played some mesmerising rugby, full of vivid movement and interplay, to prove just that, but one of the most impressive qualities of this England side- and there are many qualities to admire- is their resilience.
They could so easily have been overrun in that first half but they rallied and responded with a magnificent third quarter when the game turned decisively their way as they attacked with great purpose and scrum half Ben Youngs showed his class.
What a year. Comparisons with the 2003 World Cup-winning side are ridiculously premature, but the scary thing for the rest of the world, including New Zealand, is that this England side can still improve so much.
