World championship bronze medallist Sindhu posted a comfortable 21-18 21-15 victory over Malaysian Sannatasah Saniru in 32 minutes to enter the second round of the women's singles event.
Kashyap and Pawar also reached the second round of the men's singles competition with straight game victories.
But it was curtains for Kidambi Srikanth in the men's singles, while Saili Rane failed to cross the opening round hurdle in women's singles.
But at 18-18, the 18-year-old Hyderabadi girl showed a lot of character as she went on to pocket three straight points to wrap up the opening game 21-18.
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The second game was a neck-and-neck battle till 7-7 before the Malaysian opened up a 13-9 lead, but Sindhu held on to her nerves to make it 12-13 and then tie it at 14-14.
World No. 9 Sindhu will take on winner of the match between Li Michelle of Canada and Russia's Ella Diehl in the next round.
Meanwhile, Commonwealth Games bronze medallist Kashyap prevailed over The Netherlands' Erik Meijs 21-17 21-15 in a match that lasted 34 minutes.