He is playing his first tournament since suffering serious injuries in a car accident in December 2022 that kept him out of last year's IPL as well as the 50-overs World Cup in India
Marnus Labuschagne top-scored for the hosts with 103, while opener David Warner (95) and stand-in skipper Steve Smith (93) narrowly missed their hundreds.
Ben Stokes (3-113) was the pick of the bowlers for England, who are 1-0 behind in the five-Test series following their nine-wicket defeat in Brisbane.