The Punjab batsman has scored a match-winning half-century for India A.
He dominated the opening stand of 59 with Unmukt Chand, in India A's chase of 227.
Leg-spinner Karn Sharma was the pick of India A's bowlers, with three for 37 in his ten overs.
The Australia A captain scored his third 50-plus score in the tri-series.
Burns was out for 41 in the 14th over, after helping build a base for a decent first innings total for the visitors.
Catch live updates from the final of the A-team tri-series, between India A and Australia A, here.
India have made the final owing to massive wins over South Africa A.
Mayank Agarwal scored a scintillating 176 for India A.
South Africa A needed to chase down the target within 29th over.
India A likely to play the final against Australia A on Friday.