Morgan's men posted a new all-time ODI record of 481 for six at Trent Bridge en route to a 242-run thrashing of their arch-rivals to go an unbeatable 3-0 up in the five-match series.
With 27 balls still to go, England notched up 450 just after 5pm local time (2am AEDT) in the 46th over of the third ODI at Trent Bridge in Nottingham. They had in fact set the previous record of 444-3 against Pakistan two years ago, passing that total by some distance.
The hosts smashed a world-record 481-6 in their 50 overs, the highest one-day global (ODI) total in history, before taking just 37 overs to dismiss the Aussies for 239.
Moeen, who was dropped from the Test team after a hugely hard winter in Australia and New Zealand, has taken eight wickets in the first three games of the series, including three today. In reply, Australia were bundled out for 239 with spinner Adil Rashid taking 4 wickets in his spell of 10 overs.
Australian cricket captain Tim Paine talks to his team.
England failed to score any boundaries in the last four overs - but before that they struck 21 sixes during an incredible display of strokeplay.
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For Australia it was the stuff of which nightmares are made, and Andrew Tye was made to suffer more than anyone.
Bairstow's entertaining innings came to an end when he picked out Richardson in the deep off Agar.
Sourav Ganguly, former Indian captain, has expressed his concern over the health of the game cricket after England posted an ODI record total of 481/6 against Australia on Tuesday.
Chasing the mammoth total was never going to be easy and the feat proved too much for Australia who were bowled out for 239 to slump to their biggest ever margin of defeat - usurping a 206-run loss to New Zealand in Adelaide 32 years ago.
But he soon had a say with the ball - first tumbling low at mid-on to collect Short's chip off David Willey to mid-on and then seeing off Travis Head caught-and-bowled just after the opener had reached a 36-ball 50.
It left Australia, seeking to rebuild a reputation shattered by the cheating scandal that engulfed them in March, already beaten in this Royal London series and utterly frazzled and demoralised.