The Bench had earlier said that the late-night cremation of the Hathras woman was a violation of human rights for which the responsibility should be fixed.
The woman’s death had sparked protests across the country, with opposition parties calling for Chief Minister Yogi Adityanath’s resignation.
The Supreme Court on Thursday reserved its order on whether to transfer the Hathras case from Uttar Pradesh to Delhi after completion of the probe.
Additional Advocate General V K Shahi, who represented the state authorities, said the next hearing has been fixed for November 2.
Chief Minister Yogi Adityanath said that the Mission Shakti should start with mass awareness programmes during the 'Shardiya Navratri' that begins on October 17
The CBI, who took over the investigation into the case, registered an FIR under various sections of the Indian Penal Code (IPC) related to gangrape and murder.
In a tweet, Rahul Gandhi said the shameful truth is many Indians do not consider Dalits, Muslims and tribals to be human.
The Ministry of Home Affairs has issued an advisory to States and Union Territories for ensuring mandatory action by police in cases of crime against women.