The court filed the case to the Egyptian Grand Mufti to ask his advisory religious opinion on executing the two men. It also set December 30, 2020, for a final ruling.
The three men, whose murder of Mariam, has dominated social media over the past week, will be tried over charges of deliberate murder.
The third suspect faces accusations of helping carry out the crime with the two other people, according to the General Prosecution.
As per the initial investigations, the accused people confessed that they robbed the girl and ran away, without knowing that she was killed. They insisted that they did not mean to kill her.
This refutes an earlier claim on social media that the motive behind the incident was harassment.