The protesters blocked the main road outside the official residence of Director General of Police near Bikram Chowk and sought intervention from the Governor.
Police sources identified the two as Junaid Ahmad and Mushtaq Ahmad, both belonging to Wathoora village in Badgam district.
DIG Amit Kumar sustained injuries during an encounter with JeM terrorists in Jammu and Kashmir's Pinglan area in Pulwama district.
Thakur, who is in his late 30s, first got a job in the social welfare department and was later appointed as a lecturer at a government college in view of him having a master's degree in Zoology.
The twitter handle "313_get" is not open for public viewing.
The police had on Sunday said there was no armed intrusion into the official quarters, but called it negligence on part of the security personnel.
The PDP president appealed to Jammu and Kashmir Governor Satya Pal Malik to take action against police officials involved in the incident.
The body of sub-inspector Imtiyaz Ahmad Mir, who was posted with the CID in Srinagar's Sheergadi, was recovered from the Chewa Kalan area of the district.
Of those killed, 30 were policemen while nine were Special Police Officers.
The SPOs were paid less than an average Class-IV government employee
India said that the situation at present is not conducive for any bilateral talks as Pak-backed terrorist outfits are still active in the Kashmir valley.
The three policemen who quit were a constable and two special police officers (SPOs).
The police issued the picture from a video, which was purportedly recorded by a passerby following the attack on Bukhari outside his office.