Two-time Olympic medallist Sindhu defeated rising shuttler Anmol Kharb 21-17, 21-15, while Lakshya, 2021 world championships bronze medallist, powered past Malaysian qualifier Sholeh Aidil 21-12, 21-12 in another match.
In mixed doubles, the husband-wife Indian pair of B Sumeeth Reddy and N Sikki Reddy defeated Malaysia's Wong Tien Ci and Lim Chiew Sien 21-17, 21-19.
Sindhu took just 33 minutes to get the better of American Lauren Lam 21-16 21-13
Harshit Aggarwal defeated Mongolia's Batdavaa Munkhbat 21-15, 21-13 to be pitted against Japan's third seed Kodai Naraoka in the third round.
Two-time Olympic medallist P V Sindhu stormed into the second round of the women's singles in the Syed Modi International Super 300 badminton tournament after a dominating victory over compatriot Tanya Hemanth, in Lucknow, on Wednesday.