Bulk magnetization and neutron diffraction studies on a recently reported double-double perovskite compound CaMnCrSbO 6 (space group : P 4 2 n) suggest ferrimagnetic order (T C ∼49 K), with opposite alignment of Mn 2+ and Cr 3+ spins. The unit cell comprises of two different Mn atoms, denoted as Mn(1) and Mn(2) which have tetrahedral and planar coordination of oxygen atoms, respectively, while the Cr atom is in the centre of orthorhombically distorted octahedron. We have deployed density functional theory, Wannier function analysis, and mean-field calculations to investigate this compound. We find that the super-exchange strengths obtained from DFT are an order of magnitude smaller than those reported for the similar magnetic perovskite and doubleperovskite compounds. The nearest neighbour (along c-direction) Mn(1)-O-Mn(2) superexchange interactions are found to be anti-ferromagnetic and smaller compared to the next nearest neighbour Cr-O-O-Cr super-superexchange interactions, which are found to be ferromagnetic. The in-plane Mn(1)-O-Mn(2) superexchange, also antiferromagnetic, is much smaller due to greater separation between the Mn atoms. The Mn(1)-O-Cr and Mn(2)-O-Cr superexchange interactions are found to be antiferromagnetic. The signs of exchange interactions from DFT predict that while the Cr 3+ spins can be arranged ferromagnetically, the alternate Mn 2+ spins have to be arranged antiferromagnetically. Due to difference in ligand symmetry, the Mn(2)-O-Cr superexchange is weaker than the Mn(1)-O-Cr superexchange, thus effectively resulting in ferrimagnetism, as observed experimentally too. The underlying superexchange mechanisms have been analysed in terms of the hopping integrals between the Wannier orbitals of the transition metal ions and oxygen. Our mean field calculations reveal that assuming a set of four magnetic sub-lattice for Mn 2+ spins and a single magnetic lattice for Cr 3+ spins yields a much improved T C , unlike the use of the two magnetic sublattice model which yields a much higher T C . ‡ Both the authors have made equal contribution.