The order was passed by the court's Lucknow bench comprising Justice Amreshwar Pratap Sahi and Justice Vijay Laxmi after Additional Advocate General Bulbul Godiyal pleaded that the matter be taken up on August 8.
"Put up (the case) on Monday," the court said.
A woman and her 13-year-old daughter were allegedly gangraped at gunpoint by a gang of dacoits after being dragged out of their car in Bulandshahr on NH-91 when they were travelling with their family from Noida to Shahjahanpur last week.
Earlier, the court had asked the petitioner to file details of alleged irregularities in the case probe by the state police by August 5.
The petitioner has also prayed that he may be permitted to file a supplementary affidavit regarding the case probe.