The series will be played from January 26 to February 7.
Fast bowler Jhulan Goswami will be Mithali's deputy.
India will kick-off their campaign with a T20 international on January 26 Day at the Adelaide Oval followed by the two T20Is in Melbourne on January 29 and in Sydney on Jan 31.
The three-match ODI series begins on February 2 at Manuka Oval in Canberra and culminates at Hobart's Blundstone Arena on February 7.
T20 squad: Mithali Raj (capt), Jhulan Goswamy (vice-captain), Smriti Mandhana, MD Thirushkamini, Harmanpreet Kaur, Veda Krishnamurthy, Shikha Pandey, Niranjana Nagarajan, Sushma Verma, Ekta Bisht, Rajeshwari Gayakwad, Poonam Yadav, VR Vanitha, Anuja Patil, Deepti Sharma.