Lanning hit 17 fours and seven sixes in her innings to take Australia to 226/3 at Chelmsford.
Lanning's report-breaking 133 is also the fifth-best person score in both of those guys and women T20Is. England Women won all the six ODIs and eight T20Is they played at this venue prior to this game including two ODIs and two T20Is against the Southern Stars.
Mooney's departure brought Ash Gardner to the crease with the all-rounder continuing the same attacking play with a quick-fire 27 off 14 balls to help Australia post 3-226; its highest-ever T20 total.
England wicket-keeper Sarah Taylor has withdrawn from the upcoming T20I series against Australia due to mental health issues. She was replaced behind the stumps by Amy Jones, with accomplished fielder Fran Wilson coming into the squad but not selected in the team. By that stage, Australia were 143 for 2, having just lost Mooney after a 134-run partnership with Lanning. Mooney (54) was finally dismissed by Sophie Ecclestone in the 13th over, reducing Australia to 138 for two.
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The Aussie skipper middled the ball from the off, brutally cutting it behind square when the English bowlers dropped short outside off stump, and smashing through the covers or over the top.
Australia lost its opener Alyssa Healy (4) early as she was sent back to the pavilion by Kate Cross in the opening over.
"It's been closer than what scoreboard suggests, we've been able to win the big key moments in games and get some momentum, and were keen to keep going", Lanning said.
Australia applied the pressure as the required run rate continued to climb, with only Natalie Sciver (28), Lauren Winfield (33) and Katherine Brunt (29*) making major inroads in the chase.
With the ball, Australia defended their total with Ellyse Perry (2-11) removing the unsafe Danni Wyatt in the first over before Megan Schutt (3-25) then removed Amy Jones before another Perry wicket had England 3-12.