Skipper Eoin Morgan struck an unbeaten 81, which included seven fours and two sixes, as England chased down their victory target with more than nine overs to spare.
The Lions training camp also gave Livingstone a close-up view of Ashes cricket in Australia - including attending the first day of the first Test at the 'Gabba.
Bayliss led England to the World T20 final and to the Champions Trophy semi-final and has overseen significant improvements in the one-day game.
After a humiliating Ashes series against Australia, the visitors will be trying their level best to notch their game standards. Australia's middle-order was scratchy leading selectors scrambling ahead of next year's World Cup looming.
He said: "I'd like to prove a point to everyone, to my team-mates and the media, that I can be that X-factor bowler they want".
"Australia is a tough place to be, especially when you're losing, but the fresh faces will provide an added impetus and do the world of good for England", former England batsman James Taylor told BBC Sport.
Ballance did not feature in the series, Ball featured only in the first test and Curran was a late addition to the squad before turning out in Melbourne and Sydney.
Meanwhile, Morgan confirmed that a decision on Alex Hales's return will be made on the morning of the first ODI in Melbourne.
However, Kevin Pietersen had other plans and chose to put up a fight against the formidable Australian bowling attack.
But Taylor says the one-day side are better placed than the Test team to cope without Stokes, who was replaced in the squad by Malan, England's leading run-scorer in the Ashes.
Smith said: "I think he is a player with a really bright future. He signed a contract until 2019 and has always said the same thing".
Talking of allrounders, England will be hoping that the one-day series can help Moeen escape the funk the surrounded him for much of the Ashes.
Eoin Morgan has leapt to the defence of England head coach Trevor Bayliss, praising him for lifting the pressure off the squad.
"But then I looked up one ball and (Chris) Woakes was coming in and I just realised he has played Test cricket before and I've gone nowhere near it".
"It will be nice to get in and around that and hopefully show what I can do".
Australia: Steven Smith (capt), David Warner, Pat Cummins, Aaron Finch, Josh Hazlewood, Travis Head, Mitchell Marsh, Tim Paine (wk), Jhye Richardson, Mitchell Starc, Marcus Stoinis, Andrew Tye, Cameron White, Adam Zampa.
"I can not believe Glenn Maxwell is not in this Australia squad", said Taylor.