The footage, recorded on a mobile phone at Holambi Kalan village here, emerged yesterday, they said.
Over eight persons can be seen in the clip thrashing the duo and dousing them in petrol, the police said, adding that the group rubbed chili powder on their private parts.
Police claimed to have identified all the suspects, some of whom were juveniles, with the help of the footage.
Police officials said they came to know about the incident from hospital authorities where the victims were admitted for treatment.
A probe has been initiated into the incident, they said.