Ali was dropped after a poor performance in the opening Test in Edgbaston
It was a vastly improved effort on the home side's first innings score of 135, as they chase down England's first innings total of 421.
'I said before the game that if they bowl a lot at my head then they're not bowling at my stumps and trying to get me out lbw and caught behind the wicket. And I think that perhaps played into our favour a little bit in this innings'.
The India series starts on August 4. Vaughan reckons England must get better at playing the "long game" on good wickets.
IMAGES from Day 3 of the opening Test between England and New Zealand at Lord's on Saturday.
Ben Stokes returned to practice with England on Wednesday after the condition of his critically ill father improved, but three others missed out as illness continue to plague the tourists, 24 hours ahead of the first Test against South Africa at Centurion. Stokes spent Tuesday at the bedside of father Ged, who was hospitalised the day before due to a "serious illness".
England on Tuesday rested IPL stars including Jos Buttler and Jonny Bairstow for the upcoming two-Test series against New Zealand while Jofra Archer and Ben Stokes were not considered for selection due to injuries.
While debate continues over the state of the Ahmedabad pitch and whether it is suitable for Test cricket, England shot themselves in the foot before a ball was bowled by opting for a pace-heavy attack on a spinners' paradise in the third match against India.
England beat Sri Lanka by 42 runs in the third and final Test in Colombo, on Monday, to complete a 3-0 series sweep.
Roshen Silva struck a combative fifty and expertly guided Sri Lanka's lower order to help the hosts gain a first-innings lead of 46 against England on the second day of the second Test on Thursday.
Images from Day 5 of the first Test between India and England, at the M A Chidambaram stadium, in Chennai.
Chasing 164 to win, opener Zak Crawley was dismissed in the second session before Dom Sibley and Jos Buttler took the hosts to victory.
Joe Root scored a breezy, unbeaten 67 and will resume on the third morning with Jonny Bairstow, who has 24.
Jonny Bairstow and debutant Dan Lawrence knocked off the 36 runs required on Monday, the last day of the first Test.
There was disaster for the visitors when captain Joe Root (1), who scored a superb 228 in the first innings, was run out by a direct his from wicketkeeper Niroshan Dickwella to leave England teetering at 14 for three.
England captain Joe Root defended his decision to bat first in the opening Ashes Test against Australia and stood by the selections in their bowling unit despite going down to a heavy nine-wicket defeat at the Gabba on Saturday.
Jonny Bairstow has been rested and injured pacer Jofra Archer was left out while spinner Moeen Ali was unavailable for Test selection.
Rishabh Pant, Washington Sundar and Axar Patel took the game away from England with their fearless approach.
Ahmedabad will also host the final Test, though with the traditional red ball, and the pitch is unlikely to be vastly different from the one that saw 30 wickets fall in five sessions in the shortest completed Test match since 1935.
Jofra Archer took six wickets as England's bowlers gave their side a handy lead on the second day of the final Ashes Test, reducing Australia to 225 all out in reply to their own first innings score of 294.
Steve Smith's domination of England's bowling attack in the Ashes series reached new heights on Thursday as his magnificent 211 led Australia to 497-8 declared on the second day of the fourth Test at Old Trafford.
Australia closed in on a victory that will see them retain the Ashes after ending an incredible second day of the third Test with a lead of 283 runs, having bowled out England for an embarrassing 67 in their first innings.
Chasing a record 482 for an improbable victory, England endured a top order collapse to finish day three on 53-3, still 429 behind at Chennai's MA Chidambaram Stadium.
The hosts finished day two on 54-1 for an overall lead of 249 runs on a deteriorating track.
The 28-year-old is expected to open the batting with Surrey team mate Rory Burns for the one-off match against Ireland starting at Lord's next Wednesday.
Jos Buttler was rewarded for his good showing in the Indian Premier League with a place in England's 12-man squad for the first Test against Pakistan at Lord's, starting May 24.
Moeen Ali said it will be a massive challenge for England bowlers to get the better of India captain Virat Kohli, who he says doesn't have 'any sort of weakness'.
India will aim to soar higher with the return of Virat Kohli against Joe Root's England
Usman Khawaja celebrated his recall to the Test arena after two years in the wilderness with a stylish 137 to drive Australia to a declaration on 416 for eight shortly before the close of play on the second day of the fourth Ashes Test on Thursday.
All-rounder Ben Stokes returns to England's squad for the first two Tests against India next month after he missed the two-match series against New Zealand in June following a finger injury he sustained during the Indian Premier League earlier this year.
Off-spinner Moeen Ali struck twice in three deliveries as England completed a 57-run victory in the second test against Sri Lanka on the final day on Sunday to take an unassailable 2-0 lead in the three-match series.
India head coach Rahul Dravid on Tuesday said the repeated failures of his batters in the third innings of a Test match and the inability of the bowlers to take 10 wickets in the fourth innings is a matter of concern.
After stumps on Day 1, the England captain Joe Root and coach Chris Silverwood spoke to the match referee calling for 'consistency in the process'.
England's selectors are acutely aware of the impact on players of bio-secure bubbles and with a demanding year ahead, are making sure they protect their key performers.
Images from Day 1 of the second Test between India and England, at the M A Chidambaram stadium, in Chennai.
Images from Day 2 of the first Test between India and England, at the M A Chidambaram stadium, in Chennai.
The 40-year-old Pietersen said a win against India is similar to a victory against arch-rivals Australia and urged the selectors to play both Stuart Broad and James Anderson in the same XI.
England all-rounder Ben Stokes revealed that he and his teammates endured sudden weight loss during the fourth and final Test against India in Ahmedabad after a stomach illness hit the tourists before the match.
Since 2011, England have managed to eke out just a single draw in 13 Ashes Tests over three tours and their last two Tests in Sydney have resulted in humiliating defeats.
Former skipper Michael Vaughan is convinced that Jonny Bairstow's days are numbered in the England Test team after his dismal show in the recently-concluded Test series against India.