Jaiswal and Rahul ended the day unbeaten on 90 and 62, as the hosts failed to take a wicket in two sessions, a dizzying change of pace from day one when 17 wickets tumbled.
With 539 scalps in 134 matches at an average of 30.39 and best figures of 5/39, Lyon is the seventh-highest wicket-taker in Tests and has 24 five-wicket hauls and five ten-wicket hauls.
With a heavy downpour preventing the resumption of play after the break, the match was abandoned and the series remains locked at 1-1.
Southee, who with fellow stalwart Kane Williamson was playing his 100th Test, said he thought the contest had been a great advert for the longest form of the game.
Images from Day 2 of the 'Pink-ball' second Test between Australia and India in Adelaide on Saturday.
Images from Day 2 of the first Test between Australia and India in Perth on Saturday.
'I think he's got the technique, he's got the patience to partner up with Uzzy (Khawaja) to allow himself to score big.'
India will be under tremendous pressure when they face an equally circumspect Australia in a battle of two out-of-form batting units in the opening Test of the Border-Gavaskar Trophy in Perth
Australia are already without another regular all-rounder in Cameron Green, who was ruled out of the India series after opting to have surgery on a stress fracture in his lumbar spine.
Their pre-tournament decision to fill the squad with five spinners drew a lot of flak from all corners, but it is now proving to be a masterstroke on the slow pitches in Dubai.
'It's the most basic stuff, guys. Follow the ball and then leave the crease. Even now in Ranji Trophy and international cricket, the batsman will always look at the 'keeper and slip fielder, ask their permission and only then leave the crease.'
At Stumps on Day 3, the visitors are struggling at 51/4 with right-hand batter KL Rahul (33*) and team skipper Rohit Sharma (0*) unbeaten at the crease.
The Perth Test marks Bumrah's second stint as a stand-in captain, having also led his country against England in 2022, and he could not have been dealt a tougher hand.
Pacer Prasidh Krishna says the unpredictable nature of the pitch at the Sydney Cricket Ground will keep them in the hunt since batting won't be easy for Australia in the fourth innings.
Pat Cummins said it's tough to repose full "confidence" on ultra-edge technology but maintained that India batter Yashasvi Jaiswal had clearly edged him
Head smashed a swashbuckling hundred to fetch Australia a first innings lead of 157 at his home ground the Adelaide Oval.
With noses bloodied and pride stung from the pounding in Perth, Australia will look to hit back with the pink ball in the second Test against India at Adelaide Oval.
India fight back against Australia as 17 wickets tumble on opening day
Australia pacer Josh Hazlewood claimed the Men's Test Player-of-the-Year award. It marked his first Australian Cricket Award, with Hazlewood taking 30 wickets at just 13.16 in Tests against the West Indies, New Zealand, and India.
Srinivas Bhogle and Purnendu Maji list the 50 Most Valuable Players in the 2025 Champions Trophy.
'Ultimately, (Australia captain) Pat Cummins is a really great guy and I would be amazed, once the emotion settles, if he does not sit back and think, 'I got that one wrong', even though his bottom line at the time was winning a Test match.'
Uncapped in T20Is, Fraser-McGurk was included in Australia's World Cup squad as a reserve player but never got a chance to shine on the global stage.
'Does the spirit of the game logic apply to you, or is it just for Indians?'
'Hopefully the weather holds off, and then tomorrow it's just about coming in, having a crack, and see where we get to.'
Images from Day 2 of the fourth Test between Australia and India at the MCG on Friday.
Senior Indian off-spinner Ravichandran Ashwin has backed Alex Carey's decision to run out a wandering Jonny Bairstow on the final day of the second Ashes Test.
Both India and Australia will not play a warm-up game ahead of the final beginning at the Oval from June 7.
Virat Kohli booed by home fans after bumping shoulders with Konstas on the pitch after the 19-year-old smashed India's bowlers around the park early on.
Who do you think should be part of India's playing XI for the first Test against Australia in Perth?
Jasprit Bumrah dismantled Australia's batting in both innings with eight wickets in the match to bowl India to a huge 295-run victory in the first Test in Perth.
Images from Day 1 of the fourth Test between Australia and India at the Melbourne Cricket Ground on Friday.
Ravichandran Ashwin on Thursday scripted his name in the record books as he became the second fastest bowler to 450 Test wickets.
Despite the challenging build-up, Gambhir said he is "extremely confident" of retaining the Border Gavaskar Trophy. The players will hope to be as confident as they prepare for the fight to keep their World Test Final chances alive.
Kuldeep showed signs of return to peak form when he bamboozled the Australian batters
IMAGES from Day 2 of the opening Test between Australia and Pakistan in Perth on Friday.
Images from Day 4 of the first Test between Australia and India in Perth on Monday.
'I think there was a fair bit of good bowling today. Obviously there was enough in the wicket and it probably felt like it was a hardball wicket.'
The biggest positives with the bat in Perth were Virat Kohli regaining his rhythm and Jaiswal's coming of age hundred in his debut Test in Australia. Both will look to build on those significant gains in Adelaide.
Images from Day 3 of the second Test between Australia and South Africa at the Melbourne Cricket Ground on Wednesday.
Out-of-form skipper Rohit Sharma's batting position will be in focus against a dangerous Australia