Patel smashed 74 and dominated his 114-run partnership for the eighth wicket with Ashwin to rescue India
The hosts then raced to 199-6 in 31 overs, effectively batting West Indies out of the contest, before declaring their second innings.
It still left Australia in possession of a sizeable lead of 88 and Lyon wrecked India's top order before the home side could erase their deficit.
IMAGES from Day 2 of the 3rd Test played between India and Australia in Indore on Thursday.
The hosts, who had a put up a massive first innings score of 598-4 before declaring, opted not to enforce the follow-on and reached 29-1 at stumps.
Joe Root continued with his purple patch during the first Ashes Test against Australia at Edgbaston, bringing up his 30th Test century.
India would be pressing for a decisive first-innings lead in the contest when play resumes on Friday.
Smith said England's batters may not fare so well against the Australian bowling attack
JP Duminy says Australia could trump the hosts 2-1 in the much anticipated Test series
The four-Test Border Gavaskar Trophy that promises a lot of twists and turns, engrossing sub-plots and probably career-defining performances.
Buttler said he was asked by the on-field umpires whether he intended to appeal but decided to let the moment pass.
IMAGES from Day 1 of the opening Ashes Test played between England and Australia at Edgbaston in Birmingham on Friday.
A lot of focus is on how Australia will cope with the dangerous Ravichandran Ashwin on turning tracks in India.
Images from Day 2 in the fifth Test between Australia and England, in Hobart, on Saturday.
David Warner has called upon Cricket Australia to "open their doors" and discuss overturning his lifetime leadership ban, saying he is looking forward to having an "honest conversation" with the board.
A confident and wiser Australia are well-equipped to take the fight to India in a series that could literally be decided by a coin-toss, according to former Test bowler Ryan Harris.
South Africa in trouble at 58-4 in 'Boxing Day' Test
David Warner will play in the Big Bash League (BBL) for the first time in 10 seasons around the new year in a major coup for the Australian competition in an increasingly crowded Twenty20 marketplace.
Glimpses from Day 2 of the second Test between India and Australia at the Arun Jaitley stadium in Delhi, February 18, 2023.
A division bench comprising Justice Miangul Hassan Aurangzeb and Justice Saman Rafat Imtiaz heard the Al Qadir trust corruption case, a day after the Supreme Court termed Khan's arrest from the IHC premises on Tuesday as 'invalid and unlawful'.
Embattled former Australia captain Ricky Ponting managed to retain his place in the 13-member squad for the first cricket Test against India, starting in Melbourne on Monday.
Captain Pat Cummins said after the match that Hazlewood's injury was nothing too serious.
Ahead of the WTC Final next month, former Australian skipper Ricky Ponting opened up on India and Australia's chances for the big game.
Playing against India behind closed doors in the much-anticipated Test series at the end of the year might end up being an advantage for the home side, according to Australia batsman Usman Khawaja. Cricket Australia are desperate for the tour, scheduled for December and January, to go ahead as the lucrative Indian TV rights for the series would go a long way to easing a financial crisis triggered by the coronavirus pandemic.
Travis Head struck a belligerent half-century to give Australia the upper hand on day one of the series-opening Test against South Africa after the home side's bowlers dominated on a green Gabba wicket on Saturday.
Travis Head returned from COVID-19 to smash a belligerent 101 and Cameron Green made 74 to revive Australia after a top-order collapse on the opening day of the day-night final Ashes Test against England on Friday.
Rohit Sharma, Virat Kohli, Cheteshwar Pujara, Mohammed Shami and Ravindra Jadeja could do with a break, which will allow India to try out new players in the Caribbean.
Warner has been in excellent touch as he scored lot of runs at the top of the order for Sunrisers Hyderabad in the IPL
'To be fair to curators, they hardly got time to prepare the wicket. They had a Ranji season here and it was pretty late that it was decided the game will be shifted from Dharamsala. They did not get enough time.'
Ashwin has taken 24 wickets in the series so far with an innings left to bowl, but his 6/91 in 47.2 overs will certainly go down as one of his best efforts on a flat deck
The Australians 'swept' their way to self-destruction in the face of the Indian spinners' guile in the second Test in Delhi on Sunday.
Images from the World Cup match between Australia and New Zealand at Lord's on Saturday.
India's batting megastars will be desperate to clear the cobwebs from their head in pursuit of a second successive World Test Championship final berth as they take on Australia in the series-deciding fourth Test in Ahmedabad from Thursday.
Cheteshwar Pujara is set to play his 100th Test match when India take on Australia for the 2nd Test of the Border-Gavaskar Trophy
Australia remain confident of grabbing a valuable first-innings lead over India in the second Test despite being stonewalled by visiting captain Virat Kohli on a grassy Perth Stadium wicket that failed to match the hype on Day 2.
Australia concluded their World Cup preparation on an emphatic note
Ricky Ponting scored an unbeaten half-century on Sunday to keep alive Australia's hopes of salvaging the series against South Africa on the fourth day of the second and final Test at the Wanderers.
Ravindra Jadeja's performance at India's recent Test win against Sri Lanka in Mohali has catapulted him to the No. 1 position in the MRF Tyres ICC men's Test player rankings.
Images from Day 1 of the first Test between India and Australia, at the VCA Stadium in Nagpur, on Thursday.
India's quest to find the right combination for the upcoming World Cup ended with a 35-run defeat in the decisive fifth ODI against Australia as they lost the series 2-3.
