The deceased were identified as Russel, hailing from Chanpatoli village of Madaripur Sadar Upazila and Jahangir, living in a rented house at Bhojeshwar area of Naria Upazila of Shariatpur.
Palong Police Station OC Md. Moniruzzaman said that a team of DB police detained Jahangir and Russell on Thursday and handed over them to Shariatpur District Police.
According to information provided by the arrestees, the teams of police conducted drives at different places in Dhaka, Bogura and Madaripur's Kalkini and Sadar Upazila. On Sunday night, police along with Jahangir and Russell conducted drive at Dakhkhin Dehobhog area.
During the drive, their cohort opened fire on police to snatch Jahangir and Russell. Police also fired back for self-defense that triggering the gunfight, leaving the duo injured with bullet.
Later, the injured were taken to Shariatpur Sadar Hospital where doctors declared them dead.
Three policemen were also injured in the district. They are - constable Rasel, Mamun and SI Sohag Mia.
Police recovered a One-shooter gun, three Chinese axes, eight Ramada, two knives, nine cocktails, and a lock-cutter machine from the spot.