Green was struck on the finger by a rising Anrich Nortje delivery while batting late on the second day of the ongoing second Test against the Proteas and was forced to retire hurt.
The win in Dhaka gives India a major boost going into the Australia home series with their chances of making the ICC World Test Championship final well and truly on.
Former Indian batter Mohammad Kaif said on Sunday that middle-order batter Shreyas Iyer is vital to India's ICC World Test Championship final hopes as he lauded him for showing great skill on the fourth day of the second Test against Bangladesh to win the game for India.
Ravichandran Ashwin was declared the 'Player of the Match' for his match-winning knock in the second innings. India went on to clinch the two-match Test series 2-0. The Test series triumph was the 16th win in a row in Asia for India.
A victory in Dhaka has resulted in India strengthening their second position, with their win-percentage improving from 55.77 to 58.93. Australia are at the top of the table while South Africa (54.55%) and Sri Lanka (53.33%) are right behind India at No.3 and 4 respectively.
Kuldeep Yadav had a five-wicket haul in the first innings and went on to scalp three in the second innings to emerge the 'Player of the Match' and help India take a 1-0 lead in two-match Test series.
The victory margin looks big but the hosts Bangladesh gave a tough fight scoring 324 runs in the second innings the Indian team kept their intensity high and managed to win the match as well as take a 1-0 lead in the two-match series.
India moved to the third spot in the ICC World Test Championship table with this win as Bangladesh succumbed to the brilliant blowing of India's spinners losing their four wickets within an hour of the first session of the fifth day.
Labuschagne has consolidated his position at the top of the ICC Men's Test Player Rankings with a career-best 937 rating points after compiling his third three-figure knock in the two-match ICC World Test Championship (WTC) series against the West Indies.