Agha hit a 40-ball 76 and Usman Khan smashed a 36-ball 53 as Pakistan scored 198-5, their highest-ever T20I total against Australia.
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This was enough for the Pakistan quintet, who shared all 10 wickets between them with Abrar Ahmed returning best figures of 3-14 and Shadab Khan finishing with 3-26.
Australia were bowled out for 108 in 15.4 overs, giving Pakistan their biggest T20I win over Australia, eclipsing the 66-run victory in Abu Dhabi in 2018.
“It has to be a perfect match,” Agha said. “We batted well and then we were outstanding with the ball. The fielding was outstanding.”
The victory gives Pakistan an unassailable 2-0 lead after winning the first match by 22 runs, also in Lahore, on Friday.
“We want to play the same way, forget the 2-0 score and come back with the same intensity and go to the World Cup with the same energy,” Agha said of the event that will begin in India and Sri Lanka on February 7.
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This is Pakistan’s first T20I series win over Australia since 2018. The final match is on Sunday, also in Lahore.
Despite captain Mitchell Marsh returning after being rested on Friday, the visiting batsmen had little response to Pakistan’s assault.
Ahmed dismissed Marsh for 18, Josh Inglis for five and Matthew Short for 27.
Cameron Green top-scored with a 20-ball 35 before Usman Tariq dismissed him on his way to figures of 2-16.
Marsh admitted that Pakistan was better.
“Pakistan outplayed us,” Marsh said. “Hopefully we can improve and come back tomorrow. They put us under a lot of pressure in batting – it was probably a 160-170 wicket, so they scored a big total.”
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Earlier, Agha and Usman led Pakistan to a fighting total after winning the toss and batting.
Agha built the innings with Saim Ayub (11 balls 23) during a 55 second-wicket stand as Pakistan scored 72 runs in the powerplay.
Agha’s previous record in all T20 cricket was 68 not out.
After Babar Azam failed with a five-ball two, Usman helped Agha add another quickfire 49 for the fourth wicket before Sean Abbott broke the stand.
Agha smashed four sixes and eight fours in his sixth Twenty20 half-century.
Pakistan added a good 61 runs in the last five overs with Usman hitting two sixes and four fours in his second T20I half-century, while Shadab’s knock had two sixes and a four.
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Usman-Shadab’s fifth-wicket stand produced 63 runs off just 39 balls.
Shadab finished with an unbeaten 28 off 20 balls.
Pacer Xavier Bartlett and spinner Matthew Kuhnemann were expensive, conceding 92 runs between them in their eight overs.