Australia reached 229 for two, the highest total ever scored against Zimbabwe in a T20 worldwide as a slew of records were broken during Australia's 100-run victory.
Finch and Short put on 223 for the first wicket, which topped Williamson and Guptill's previous highest T20 worldwide partnership for any wicket of 171 (unbroken) against Pakistan in Hamilton in January 2016.
Four overs later, his 15th four took Australia's score to 200, and he then moved beyond 150 with a swipe to deep midwicket. With this 76-ball innings, which saw him score as many as 16 fours and 10 sixes, Finch broke a plethora of records.
The wickets continued to tumble thereafter, with Andrew Tye claiming a hugely impressive 3-11 from his four overs, and slow-left-arm spinner Ashton Agar pitching in with 2-16 as Zimbabwe crumbled to 129-9, slipping to a second defeat in two.
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With space on the edge of the box, his dummy did for Granit Xhaka before the shot was helped in by the outstretched foot of Akanji.
"It came on well", Finch said at the innings break.
Short eventually fell swinging across the line at fast bowler Blessing Muzarabani to be caught for 46, while Finch fell in freaky circumstances in the final over. Short sliced a catch to wicket-keeper Peter Moor, and Finch tried to cut but was overbalanced and hit the stumps with his bat to be out hit wicket, three balls from the end.
"He's (Gayle) a great player and he deserves it (the record)", Finch said.
The 100-run victory was the biggest margin for Australia in T20Is. "The wicket played a lot better than we thought (it would)".
Australia take on Pakistan on Thursday, and Finch insisted there was no room for complacency. Afterward, Pakistan kept losing wickets on a regular interval and finally folded out to 116 with one ball to spare.