On behalf of the Uttar Pradesh government, additional advocate general Bulbul Godiyal submitted that the CBI has accepted the government's request for a probe by the agency.
She said adequate security has been provided to the family members of the victims as well as the witnesses.
The petitioner's counsel, while citing earlier ruling of the HC, prayed that a time-frame should be fixed for the inquiry.
The UP government had earlier submitted the copy of the notification recommending CBI probe into the incident through AAG Godiyal.
The petitioner also submitted the copies of FIR and post-mortem reports.
The petitioner had sought direction for a CBI probe into the Badaun incident as well as action against the erring police officers concerned, besides providing adequate security to the family members of the victims.
The two teenaged girls, who were cousins aged 14 and 15 years, were allegedly gangraped and murdered with their bodies found hanging from a mango tree, a day after they went missing on May 27, in a village in Ushait area in Badaun.