The 19-year-old is part of a CA XI to face Sri Lanka in Hobart this week.
Davies, leading his side, got to his hundred in 74 balls, and then went berserk reaching his next hundred in just 39 balls
The 31-year-old spinner claimed 3/34 and 4/86 at the 60,000-seater Optus Stadium in Perth.
One attempted hook shot to a bouncer from Josh Hazlewood saw Steven Smith lose balance and fall to the ground.
This marked the first Sheffield Shield five-wicket haul for Lyon, Australia’s most successful finger spinner in Test cricket with 318 wickets.
The clash with Queensland in Canberra will be the first time that the quartet will play a match together since the Newlands Test in March.
Since moving to Queensland six seasons ago, the left-hand batsman has enjoyed sustained success for Australia in Tests.
The suspended duo has had brief nets stints with their state side since returning from the Caribbean Premier League over a month ago.
Victoria moved on to the JLT One-Day Cup semi-finals by virtue of finishing higher than their opponents New South Wales by just 0.02 Net Run Rate margin in the league stages, after the teams qualifying final was washed out without a ball being bowled.
Aided by Sean Abbott’s 5 for 43, NSW shot down Tasmania for 151 in 31.3 overs in defence of 239.