Australia defeated India by 146 runs in the second Test to level the four-match series at 1-1 here on Tuesday.
Vaughan also heaped praises on India's four-man quick attack.
Rahane (30) came out playing his shots and took on the bowling with two fours as well as a six.
Lyon, who took five wickets in the first innings, was also pleased by Tendulkar's praise.
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