The celebrity roast, which is first of its kind in India, featured a panelist of AIB members with filmmaker Karan Johar taking over the role of 'roast master' to grill 'Gunday' stars Ranveer and Arjun on their professional and personal lives.
Some Christian organisations protested against remarks made on the show pertaining to Jesus and the church.
The Archdiocese of Bomba, posted on its Facebook page that Bishop Gracias has accepted AIB's apology.
"Bp Agnelo Gracias on behalf of the Archdiocese of Bombay accepted the unconditional apology and in the spirit of understanding and reconciliation stated that the Archdiocese accepts the AIB apology and considers this matter closed," the Facebook page of Archdiocese of Bombay read.
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They also posted the apology letter written by AIB to the church.
"We, Tanmay Bhat, Gursimran Khamba, Ashish Shakya, Rohan Joshi at AIB hereby offer an unconditional apology to the entire Christian community for any offense that may have been caused to its members as a result of the AIB Knockout," read an excerpt from the letter.
"We've had extensive discussions with members of the Christian community. We also met with members of the Archdiocese of Mumbai. We explained that we didn't set out to hurt or persecute the Christian community (or indeed any community) when we wrote and performed those jokes," they wrote.
The AIB team has already removed the three-part video of the show from YouTube after it sparked a controversy for obscene language and content.