Majorji,
INS Vikramaditya is expected to replace the INS Viraat. This means the Western Command. The Eastern Command has the INS Jalashwa as its flagship. What may happen is once, Vikramaditya joins in, Viraat may be moved to Eastern Command till INS Vikrant comes online.
Indian does not see BD as a threat, nor is India interested in getting in to any tussle with BD. If it were the case, you would see mass deportation and continuous surveillance of Bangladeshis as it happens with Pakistanis in India. The only time the Indian CBG may come near BD or get involved with BD will be during bilateral military exercises of disaster support/relief or during evacuation of Bangladeshis along-with Indians from hotspots round the world.
The Indian CBG has been used for military purposes only towards Pakistan, not Bangladesh. The best case scenario is to have 4 carriers with 2 CBGs operational. Viraat stays in the docks and comes out only during emergencies. 2 CBGs are always deployed.
Also, remember an attack on any CBG, not just Indian, means only 1 thing. Full scale military retaliation. But assume you do want to take down a CBG. Typical CBGs would need to penetrate multiple layers of air defence before being close. This would mean, the opposing army has reconnaisance planes which will not get shot down, satellite capabilities to pinpoint where the carrier is (its like a needle in a hay stack), have network system in place to guide the missile towards the carrier. Typically carrier would not come close to the shore. Assume you have all this, then you need a 1000 km range missile from the shore to take it down. Or you need to send aircraft in harms way to tackle a carrier. Sending a frigate to take down a CBG is like sending a antelope with antlers to take down a pride of lions.