Rahane has a combined 109 runs from seven innings in the ongoing series against England, eight fewer than number eight Shardul Thakur scored in the fourth test alone
In-form Root remains key to England with 684 runs in his last three Tests, including match-winning monster scores of 228 and 186 in the 2-0 Test sweep in Sri Lanka.
Skipper Joe Root gave Anderson the ball in the 14th over and he bowled Gill with an in-coming delivery to send the off stump flying. Three balls later he cleaned up Ajinkya Rahane for nought.
"This will take a while to sink in," said former India captain Bishan Singh Bedi, who hailed the win as "by far the greatest comeback in the history of Indian cricket."
India were bundled down for a record low of 36 in Adelaide and regular skipper Virat Kohli left a demoralised team behind him as he returned home to attend the birth of his daughter.
I'm not someone who really has tears in my eyes but I had real tears because this is unreal.
Green was caution itself before reaching the half century mark but then accelerated with the declaration in sight, plundering four big sixes before getting a faint edge to a Bumrah delivery.
There will be a new-look attack with Umesh Yadav out of the series after hurting his calf and T. Natarajan called up as a replacement. India were already without injured regulars Mohammed Shami and Ishant Sharma.