In 2000, he contributed to BBC Radio 2's Faith in The Nation examination of the afterlife amongst the main religious faiths. He has been a panelist on The Big Questions, a faith and ethics television programme broadcast live on BBC One. He has contributed to and written for The Guardian. In 2018, Mogra served on a panel of judges for the '21 for 21' interfaith awards, a collaborative project by The Jewish News, The Church Times and British Muslim TV.
Mogra believes that for British Muslims "our loyalty to Britain must be unquestionable". Mogra has been a representative for Jewish-Muslim relations appreciating the similarities of communities governed by a code of law and ethics and religious festivals and holy days. Asked to choose a favourite film for The Clerics' Choice in The Daily Telegraph, Mogra picked The Message, explaining that "you see through the eyes of the camera, as the Messenger would have seen it". He has worked closely with Abu Eesa Niamatullah, Strategic Director of the 1st Ethical Charitable Trust. Mogra has also been an active supporter of the Armed Forces Muslim Association, appearing as a guest speaker and providing spiritual advice to Muslims serving in the British Military.
Grooming scandals
In April 2013, Mogra took part in an interview on BBC Radio 4, condemning the men at the centre of the Rochdale sex trafficking scandal. He said that sexual grooming of non-Muslim girls by Muslim gangs was an abhorrent behaviour that was unacceptable regardless of race or religion. He expressed that as some of the perpetrators happened to be from a Muslim background, it was the duty of the entire Muslim community to condemn their actions. However he also cautioned that the paedophile scandal should be seen purely as criminal behaviour, warning that using labels of race and religion could "drive the problem deeper underground". Mogra also said that the Muslim Council was also working with different groups such as the National Society for the Prevention of Cruelty to Children, police and other Muslim groups to speak out against such crimes and assist in tackling the problem.
In 2018, responding to comments on the niqab by then Foreign Secretary Boris Johnson, Mogra criticised Johnson's choice of words, describing them as "insensitive." He added that Muslim women "have already been victims of violence on our streets," and that using such offensive language would make their situation worse. He also said that Muslims were "not against criticism of the faith," but that there are more important topics that affect Muslim communities, for which debate should be prioritised over what Muslim women may or may not wear.