Babaei won a gold in 79kg, beating Magomet Evloef from Tajikistan 4-0.
Bazri came first after defeating Gankhuyag Ganbaatar of Mongolia 9-0 in the 97kg final.
Iran’s Ali Akbar Fazli also seized a silver at 70kg, losing to Konstantin Kaprynov (UWW) 6-0.
The four-day Ulaanbaatar Open Ranking Series kicked off in Mongolia Thursday.