Mandhana starred in crucial partnerships with Harmanpreet Kaur (21) and Deepti Sharma (24) as India overhauled the target with five balls to spare.
Wyatt found an able partner in Tamsin Beaumont who played the second fiddle in their 96-run second wicket stand, which took the game away from India.
Mandhana betters her previous record set by her against Australia in the opener and her knock is the third fastest in the shortest format of the game.
Mandhana's (67) highest score in T20 internationals went in vain as India suffered a humiliating 6 wickets loss to Australia in tri-series opener in Mumbai.
It was lower order batsman Vastrakar's half-century and Verma's 41 that helped the hosts set a target of 201 for the Australian eves.
Chasing a modest 143, India cantered to victory in 19.1 overs as Mandhana hit a blistering 57 off 42 balls while Raj anchored the innings to perfection with her second successive half-century, remaining unbeaten on 76 off 61 balls.
India have taken an unassailable 2-0 lead in the series, which is part of the ICC Women's Championship.
Seven months after a stupendous show in the World Cup, the Indian women's team shook off rustiness with ease with a crushing 88-run win over South Africa in the series-opener on Tuesday.
The 21-year-old was referring to an incident when Mithali was asked to name her favourite male cricketer.
From Mithali Raj's candid confession to Arijit Singh's melodious dedication for Smriti Mandhana, here's how episode 5 unrolled.
The cricketers have become household names after their spectacular show in the recently concluded women's world cup but they have not yet attracted much interest as far as sponsorship is concerned.
Mithali, who has played just 10 Tests in her 18-year long international career also stressed the importance of playing the traditional format, which she termed as "ultimate test" for any cricketer.
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