Kidambi Srikanth entered the quarter-finals of Malaysia Masters after defeating Ireland's Nhat Nguyen in his second-round match but H S Prannoy bowed out with a straight game loss.
Satwik and Chirag will next face third-seeds Aaron Chia and Soh Wooi Yik of Malaysia.
Earlier, the 17-year-old made short work of another Taipei shuttler Lin Sih Yun 21-12, 21-7 in the round of 16.
Seventeen-year-old Unnati, champion at the 2022 Odisha Masters and 2023 Abu Dhabi Masters, was no match for world No. 2 and top seed Pornpawee Chochuwong, going down 14-21, 11-21 in just 39 minutes.