B.M. Birla established BIT Mesra in the year 1955. He was the brother of G.D. Birla, the founder of BITS Pilani and the main scion of the Birla family of his generation. BITS Pilani was established in 1964. The brothers were the descendants of Baldeo Das Birla. G.D. Birla’s family heads over BITS Pilani and its other campuses, and B.M. Birla’s family heads over BIT Mesra and its other campuses. The C.K. Birla group administers BIT Mesra in the present times.
Thus, the two institutions are not directly related. However, because they were both founded by members of the Birla family, both of them contain the Birla tag.