For Australia, leg-spinner Georgia Wareham (2/23) starred with the ball and she was well supported by Jess Jonassen and Sophie Molineux who both scalped two wickets apiece.
With the win, White Ferns also ended a 13-match white-ball losing streak against their trans-Tasman rivals.
Perry, who tore her right hamstring during the Women's T20 World Cup in Australia in March, had hoped to resume against the Kiwis but aggravated the injury during training.
Australia first bundled New Zealand for 128 in 19.2 overs, with the innings punctuated by another contentious White Ferns dismissal and then chased down the target with more than three overs to spare.
Australia women beat New Zealand women by 17 runs in the first T20I on Saturday.
Australia are next scheduled to take on New Zealand in three ODIs and as many T20Is in September, the squad for which was announced by Cricket Australia on Friday.
Perry and Toomua got engaged in August 2014 and tied the knot in December 2015.
A shortened season is being speculated with CA struggling to stay afloat in the wake of the coronavirus break and is facing losses worth millions of dollars.
Schutt maintained women's cricket is in a good space after a world record crowd watched the World Cup final in March where the Aussie eves beat India.
After the win, Meg Lanning's girls joined Perry on the stage and enthralled the crowd as she sang one of hit songs, Firework in front of a record 86174 spectators at the venue.
Ellyse Perry injured her right hamstring while attempting a run out during Australia's final group match against New Zealand and was subsequently ruled out of the ongoing Women's T20 World Cup.
India will have a psychological advantage going into the final as they had stunned the defending champions by 17 runs in the tournament opener.
After 22 gruelling matches over the last two weeks, Women's T20 World Cup 2020 comes full circle to where it started.
India women will take on Australia in the final of the tri-series in Melbourne on Wednesday.
Australia women's captain Meg Lanning has said that the upcoming T20 World Cup could prove to be the turning point in women's sport.
After securing a five-wicket victory over England, India women's team will aim to continue winning run against hosts Australia.
Mathew Mott has extended his stay as the head coach of Australia women's cricket team till the 2021 World Cup in New Zealand.
Australia's Kristen Beams has decided to hang up her boots. She played one Test, 30 ODIs and 18 T20Is for the national team.
Blackwell, who announced her international retirement in February 2018 after 251 appearances, had continued to feature in the Women's Big Bash League (WBBL) for Sydney Thunder.
Thailand women's cricket team may have played only 25 T20Is so far, but they've already broken a huge record held by Australia women in the format.
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