Vaughan's comment came after India's ODI series defeat at the hands of Australia.
India recently conceded the three-match ODI series 2-1 to Australia and one of the reasons behind the loss was a circumspect approach of the batsmen.
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According to Vaughan, the culture in the Indian dressing room is 'a little bit old school' and they need to develop a culture that allows their batsmen to play freely.
"We saw an incredible partnership between Pandya and Jadeja but beyond that is not great deal but I was just wondering back of the mind that they are playing timidly and is getting them into a situation," Vaughan said on Cricbuzz.
"I just think it’s freedom and culture around dressing room which allows them to do that (play aggressively) and I think, India have the talent in their batsmen and playing with that approach because they’ve got the skill, they’ve got the time, they’ve got the gift.
"I just wonder if in that culture, in the Indian dressing room, I just wonder it’s a little bit old school. I just wonder it’s a little bit back the innings when we play consistently. They’ve got enough talent to go out for it a little bit early and a bit harder," he explained.
Former India pacer Zaheer Khan also echoed Vaughan’s sentiments, saying the team must figure out the brand of cricket they want to play.
"It’s all about what brand of cricket you want to play? How you going to structure your innings. All those discussions are important when the skeleton needs to be formed," Zaheer remarked.
"When you look at this team when someone like Rohit Sharma is out, you tend to feel that the winning formula is not defined for any other individual to fill in that particular role."
“A conscious effort has to be made by the think tank and the team management to have a set and defined brand of cricket which the team wants to play,” he added.