It was India's first loss in an ODI series at home since 2015 when they lost 3-2 to South Africa. However, Rohit made a solid comeback during the fourth ODI, where he hammered 95 runs when the team needed the most.
But the victory has greater significance as Australia claimed a stunning come-from-behind series win for a huge confidence boost ahead of the World Cup - nearly exactly a year after a ball-tampering scandal rocked the sport and led to the suspensions of Steve Smith, David Warner and Cameron Bancroft.
"The resilience we showed and the fight we showed being down 2-0, it would have been easy to roll over and the small moments in the game drift away and India win the series", he said.
The assuring presence of skipper Virat Kohli (20) did not last long as he too departed early, caught behind while attempting a cut off Marcus Stoinis.
Sharma and Kohli added 53 runs for the second wicket at quick pace. Australia set a target of 273 with Usman Khawaja scoring his second century.
Cummins proved a nightmare for India's openers during the series, regularly striking with the new ball.
The Indian vice-captain had a disastrous start in the five-match series against Australia as he managed to score just 51 runs from first three matches.More news: US Says It Stands With India in Fighting Terrorism
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At the time of filing the copy, Bhuvneshwar Kumar and Kedar Jadhav are fighting and taking the game deep.
The extravagance cost both Pant and Vijay Shankar (16) their wickets as they went after Lyon and Zampa respectively.
It was a game that had everything - a stunning century, a weird dismissal, an early collapse, a huge fightback, a flying bat and a thrilling finish - but in the end, Australia claimed a famous victory over India in India.
Khawaja was yet again impressive with his footwork, handling the Indian spinners nicely before being caught at shot extra cover by Kohli off Bhuvneshwar.
The Aussies kept losing regular wickets but Jhye Richardson played a useful cameo of 29 off 21 deliveries before being run out on the final ball of the 50th over.
Jadeja, who replaced Yuzvendra Chahal, made a strong case for himself for inclusion in the World Cup squad with figures of 10-0-45-2. He was dismissed for 57 runs.