At lunch, Australia were 72 for three in 19 overs after downpour ceased play for 29 minutes halfway through the session.
Rogers, given the all unmistakable after the woozy spell at Master's that constrained him off the field on the most recent day of Australia's devastating 405-run win in the second Test which leveled the five-match arrangement at 1-1, was 35 not out and Adam Voges unbeaten on 12.
Finn, chose after Durham snappy Imprint Wood was discounted with lower leg inconvenience, took two for two in nine balls including the prize wickets of Steven Smith and Michael Clarke.
Australia commander Clarke selected to bat first on winning the hurl in spite of cloudy conditions and a livelier pitch promising more help for the seamers.
James Anderson, Britain's best Test bowler yet wicketless at Master's on a pitch with no sideways development, required a unimportant eight balls to take his 407th Test wicket when he had David Warner, Rogers' kindred left-gave opener, lbw for two.
Rogers' woozy spell was credited to a parity issue in the inward ear created as an aftereffect of being struck on the protective cap by an Anderson bouncer over the span of his Test-best 173 in Australia's first innings at Lord's.
In any case, when Stuart Wide knocked down some pins a "loopy" bouncer at the 37-year-old, Rogers - who missed Australia's late 2-0 Test arrangement win in the Caribbean with a blackout endured while batting in the nets, pulled him for four.
Rogers, on the other hand, could just look as Finn - whom he captained at Middlesex - delighted in an emotional come back to the Test stadium subsequent to going ahead as first-change.
The 26-year-old, playing his first Test subsequent to the 2013 Fiery debris opener at Trent Connect in the wake of losing his activity and being esteemed "unselectable" as Britain endured a 5-0 arrangement whipping in Australia in 2013/14, hit with the 6th chunk of his first over on Wednesday.
Smith, the world's number one positioned Test batsman taking after his Test-best 215 at Lord's, was squared by a decent length ball he edged low to Britain commander Alastair Cook at first slip.
Smith was out for seven and Australia were 18 for two in precisely eight overs.
Finn then clean knocked down some pins Clarke, now with two hundreds in his last 27 Test innings, with a great yorker for only 10. (AFP)