Rahane has expressed his desire to take a break from cricket during August and September.
Labuschagne and Green were at the crease for Australia that bowled out India for 296 earlier.
Rahane became the 13th Indian batter to achieve the milestone in Test cricket.
Rahane made a comeback to the Indian Test team after a gap of almost one-and-a-half years based on his fine form in the Ranji Trophy and IPL 2023.
Rahane, who was a part of Chennai Super Kings' fifth IPL title-winning side, has already received a lot of praise for his attacking batting and improved strike rate in T20 cricket.
There should be a concerted effort to guide and nurture players who show potential at the first-class level and mould them into full-fledged members of the national side.
Rahane's comeback after 15 months was on predictable lines after Shreyas Iyer's back injury ruled him out of the grand finale.
Rahane rolled back the clock, reaching his half-century off only 19 balls, to record the fastest 50 in IPL 2023.
The 34-year-old Rahane, playing his first match for Chennai Super Kings, slammed the fifty (52) off 19 deliveries against Mumbai Indians,
Set an improbable target of 529 runs for an outright win, South Zone were bowled out for 234 in 71.2 overs.