Starc claimed the wickets of Behrendorff, Moody and Mackin in the first innings.
Behrendorff and Mackin were bowled by trademark Starc yorkers in the four-day match at Hurstville Oval while Moody was adjudged lbw trying to defend another.
In fact, Rao and Trott had taken two hat-tricks in the same innings.
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The left-arm speedster became the first bowler to pick up two hat-tricks in a Sheffield Shield game and the 8th player to pick up two hat-tricks in a first class match. R.O. Jenkins, Amin Lakhani, T.J. Matthews, C.W.L. Parker, J.S. Rao, A. Shaw and A.E. Trott had also claimed two hat-tricks in the same match.
In his next over, he slanted in a full ball to Jono Wells and the batsman edged it to Steve Smith at first slip, drawing wild celebrations from the New South Wales team.
Hazlewood took 3 for 13 on the way to figures of 3 for 24 in Western Australia's first innings of 176.
The Ashes begin at the Gabba in Brisbane on November 23 and Australia's squad for the series is expected to be announced after this round of Sheffield Shield matches in completed.
This was the final game for Starc before the first Ashes Test against England begins in Brisbane on November 23.