Commonwealth Games champion Kashyap, who turned 29 yesterday, was handed a win by Takuma Ueda after the Japanese shuttler retired midway at 3-2 in the opening game at the Tokyo Metropolitan Gymnasium.
Two-time silver medallist at World Championship, Sindhu failed to break the defence of Minatsu Mitani as her fight ended with a 13-21 21-17 11-21 loss to the Japanese shuttler in women's singles competition.
Glasgow Commonwealth Games silver medallists, Jwala and Ashwini played out of their skin before going down 20-22 21-18 13-21 to eighth seeds Zhao Yunlei and Zhong Qianxin of China in a 54-minute match.
Another women's doubles pair of Pradnya Gadre and N Sikki Reddy also made an early exit as they lost 6-21 17-21 to top seeds Misaki Matsutomo and Ayaka Takahashi of Japan.