Joe Root - 9/10 - Excellent all-round performance.
Root remained unbeaten on 46 while Woakes reaffirmed his batting abilities with a 27 ball 39 as England cruised home.
England named an unchanged 11 after their comfortable win in the first match of the series at the Melbourne, with MCG hero Jason Roy presented with his 50th ODI cap by Adam Hollioake before play.
Adil Rashid was then duly introduced to the attack, before part-time off-spinner Root also came on and bowled brilliantly, trapping Australia captain Steve Smith lbw for 18 and taking an easy return catch to dismiss the skittish Travis Head for seven. Buttler nicked behind and four balls later Moeen Ali had no answer to an 88mph yorker.
Smith, aware of Australia's poor run, was quick to point out: "In the last 10 games, we have gotten ourselves into reasonable positions but have not taken advantage of them, like today".
Just like in game one, Aaron Finch (106) and Mitchell Marsh (36) anchored the innings but got out as Australia began to launch.
Even with a target of under 300, England's batsmen stuck to their attacking approach. Contributed well in the field with two catches and good out-fielding.
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Test captain Joe Root and wicketkeeper Jos Buttler steadied the innings with a stand of 68 before the latter fell to Starc for 42.
Desperately searching for inspiration, Australian turned to debutant speedster Jhye Richardson who got through the defences of Hales (57) to claim a memorable first ODI wicket and followed up with the scalp of Bairstow (60 from 56) as the match took an unexpected turn with England delicately poised at 129-3 in the 22nd over.
Morgan exuded confidence in stating he would have bowled first even if he had not lost the toss.
After just six overs of England's innings, Smith brought on the part-time off-spin of Head, underlining how the hosts had misread the pitch and made a crucial selection error.
Finch consolidated and accumulated supremely to hit his second straight century, but again he was left without adequate support and dismissed while trying to accelerate the scoring shortly after reaching three figures. He added 117 runs for the second along with Jonny Bairstow nearly at run a ball and set a platform for the middle order to win the game.
Hales was mere seconds behind, heaving Head for six, but Richardson's second spell hauled Australia back into a game that was fast escaping them. To many, that would describe all-rounder Glenn Maxwell, who was left out of the squad, with his consistency and training publicly questioned by Smith.
"There were a few hairy moments, but we kept our composure", man-of-the-match Root said. "I managed to sneak some overs in - and it went quite nicely". "I thought our bowlers were exceptional", England captain Eoin Morgan said.
"It was far from our best performance with the bat".
England go 2-0 up in the five-game series against the reigning world champions ahead of Sunday's third game at the SCG.