The injured, Rahul (22) and Monir (25), were rushed to Dhaka Medical College Hospital around 8:45 pm.
Rahul was admitted to Ward 102, while Monir was discharged after primary treatment.
Inspector Md Faruk, in charge of the hospital police camp, said witnesses reported that leaders and activists of Gono Adhikar Parishad went to vandalise the Jatiya Party office.
A clash then ensued between them and the police, during which Rahul was shot in his right hand and Monir in his left, reports UNB.