The Australian leapfrogged initial front-runner Jason Gillespie to replace the sacked Peter Moores.
The reigning World Series champions defended their home diamond on Wednesday night, while the Yankees gave J.P. Sears his first start.
River Plate defeated Alianza Lima 8-1 in the Copa Libertadores on Wednesday, while Fortaleza and Olimpia also secured wins.
After four first-half turnovers, and even some calls for his benching, Jaylen Brown was spectacular down the stretch in Game 5.