The side, led by Jason Sangha, also includes Will Sutherland, son of Cricket Australia's (CA) chief executive James Sutherland. Sutherland Jr is the vice-captain of the side.
Australia looked on course for a total in the range of 250 in the 40th over before India's spinners took charge. The Jason Sangha-led side lost its last six wickets for 33 runs and was dismissed in 47.2 overs.
Cricket Australia XI were 356/6 in 102 overs at stumps in response to India's 358 all out at the Sydney Cricket Ground on Friday. More than the runs scored by CA XI, it was Shaw's ankle injury which gave India major grief as he was ruled out of the first Test in Adelaide starting December 6.
India will look to make the most of their only warm-up game, beginning, in Sydney, on Wednesday against Cricket Australia XI.
Lloyd Pope produced something of a cricketing miracle on Tuesday as he took tournament record figures of eight wickets for 35 to bowl Australia into the semi-finals of the Under-19 cricket World Cup in New Zealand.
Unstoppable thus far, India are hoping to rewrite the record books with a fourth title when the Rahul Dravid-coached side squares off against an equally formidable Australia in the final of the ICC Under-19 World Cup, in Maunganui, New Zealand, on Saturday.
With a fourth crown, India also surpassed Australia in the race of most U-19 World Cup titles. Prior to the final, India and Australia were locked at three titles each.