Moghuls were based out of Delhi, The ideological successor to the Muslim legacy in the Subcontinent is Pakistan, and the Pakistan movement which was transnational, Bangladesh separated itself from a transnational Subcontinental movement. Maybe you can argue post Haseena and Awami League, there is an attempt to recultivate ties with Pakistan and the TransNational South Asian Muslim Identity, I don't see how Bangladesh is a successor to the Moghuls, Bengal was a province and a well to do area, but political power rested with Delhi.