First, Australia achieved the rare feat of winning an ODI from 0-2. This is covered nicely by Cricinfo writer Bharat Seervi:
It can be seen that India suffered the indignity of losing a 6-match series after leading 2-0. This was the only such occasion in ODIs.
Recovering from an 0-2 deficit in Tests is even rarer. It has happened only once, during the 1936-37 Ashes where Bradman’s team won 3-2. In a few cases there was a recovery to a 2-2 draw or a 3-2 loss. The latter happened to India against the West Indies in 1974-75.
The last time Australia won a bilateral ODI series in India was in late 2009.
Here is a summary of all bilateral ODI series between India and Australia in India:
(This leaves out matches in the World Cup, Champions Trophy and a few tri-series.)
1984 (Sep/Oct): Aus won 3-0, 2 NR
1986 (Sep/Oct): Ind won 3-2, 1 NR
2001 (Mar/Apr): Aus won 3-2
2007 (Sep/Oct): Aus won 4-2, 1 NR
2009 (Oct/Nov): Aus won 4-2, 1 NR
2010 (Oct): Ind won 1-0, 2 NR
2013 (Oct/Nov): Ind won 3-2, 2 NR
2017 (Sep/Oct): Ind won 3-1
2019 (Mar): Aus won 3-2
Individual performance will be covered in the next part.