Sania and her Chinese Taipei partner Su-Wei Hsieh, seeded second, defeated the Argentine-Swiss combine of Maria Irigoyen and Romina Oprandi 6-2, 6-0 in 48 minutes, while tenth seeds Paes and Raven Klaasen of South Africa beat the American duo of Scott Lipsky and Rajeev Ram 6-4, 7-6(6).
The 20-year-old was ruled out of action for at least four weeks after undergoing surgery on her right knee.
Sania Mirza pulled out of the doubles event at the Qatar Open on Tuesday with a calf injury.
Sania Mirza's impressive showing at the Hobart WTA saw her move to world number 53.
The Indian ace and her Chinese partner Yang-Jan Chan beat Mervana Jugic-Salkic of Bosnia and Italy's Romina Oprandi in the semi-finals.
Sixth seed Daniela Hantuchova of Slovakia, eighth seed Francesca Schiavone of Italy and India's Sania Mirza moved into the second round of the $1.3 million Qatar Open on Monday.
After a week's break, the Indian ace returns to the circuit at the Qatar Open where she takes on Romina Oprandi in the first round.
Sania Mirza equaled her career-best doubles rank of five, following her stupendous title win at the WTA Apia International with Bethanie Mattek-Sands in Sydney.
On a largely disappointing day for Indian tennis players, Leander Paes, Rohan Bopanna and Sania Mirza lost their respective doubles matches in the second round of the Australian Open, leaving the country's challenge restricted to the mixed doubles competition.
Wimbledon's new head groundsman said on Thursday he is "100 percent happy" with the grass courts despite a string of players tumbling out of the tournament through injury.