Rizwan and Irfan both suffered hamstring injuries in the third match in Rawalpindi, where a second-string New Zealand side won by seven wickets to level the five-match series 1-1
In a press conference on Tuesday, chief selector Faruk Ahmed announced a 14-man squad for the first two matches of the three-match series at the Sher-e-Bangla National Cricket Stadium in Mirpur.
Allrounder Mahmudullah, who was ruled out of the whole India series and the T20s against South Africa with a finger injury, has been included after full recovery.
Anamul suffered a shoulder injury during a pool match of the World Cup against Scotland in Australia last February.
The opener was included after a surgery on his shoulder and played in the domestic league.