The FIRs pertain to Goswami's comments during his TV programmes about the Palghar lynching incident and migrants gathering in large numbers in Mumbai's Bandra area during the Covid-induced lockdown.
Speaking to reporters, Naik's daughter Adnya and wife Akshata claimed they had sent applications seeking justice to the Prime Minister's Office (PMO) and Raigad superintendent of police.
Goswami was arrested from his residence in Mumbai on Wednesday for allegedly abetting the suicide of a 53-year-old interior designer.
Meanwhile, the court allowed an interim application of Bennett Coleman group and passed an interim injunction in its favour restraining defendents from using the trademark 'NEWSHOUR'.
The show cause notice has been issued to Goswami for making certain remarks against Maharashtra Chief Minister Uddhav Thackrey in his news debates on Rajput's case.