Police said they were looking into allegations of a conspiracy to free Dera Sacha Sauda chief Gurmeet Ram Rahim Singh from prison after he was convicted in rape case on August 25.
While Aditya was earlier charged with sedition, the charges against Honeypreet were not immediately known.
Chawala said details regarding the lookout notice against the two would be made public later in the day.
Airports, bus stands and railway stations across the country have been alerted, officials said.
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A special CBI court in Panchkula had sentenced the Dera chief to 20-year imprisonment in the rape case on Monday.
Fifty-year-old Ram Rahim Singh is lodged in the Sunaria jail in Rohtak district, where a thick blanket of security has been thrown around.
An FIR was earlier lodged in Panchkula police station following a statement by a newspaper reporter against two key functionaries of the Dera, Aditya Insan and Dhiman Insaan. The duo have been booked for sedition. Dhiman was taken into custody yesterday and sent on week-long police remand by a court in Panchkula.