Bahmanyar lost to Venezuela’s Yorgelis Salazar in the Female Kumite -50kg category 5-0.
Asgari also seized a silver medal after losing to Nurkanat Azhikanov of Kazakhstan 3-2 in the final match of the Male Kumite -75kg.
Earlier in the day, Zabiollah Poorshab and Taravat Khaksar had won two bronze medals in the competition.
Poorshab claimed the bronze medal in the Male Kumite -84 Kg and Khaksar snatched a bronze in the Female Kumite -55 Kg.
A total of 350 athletes from 58 countries competed in the event.
The competition was held in Baku, Azerbaijan from September 2 to 4.