Heterostructured metal oxide core–shell architectures have attracted considerable attention owing to their superior electrochemical performance in supercapacitors compared to a single structure. Here, we report a simple and effective synthesis of hierarchical MnCo₂O₄ nanowire@MnO₂ sheet core–shell nanostructures anchored on graphite paper for use in supercapacitors. The proposed electrode exhibits a specific capacitance of 2262 F g⁻¹ at 1 A g⁻¹. In addition, good rate capability and excellent cycling performance are observed. An asymmetric supercapacitor with operating potential at 1.6 V is demonstrated using MnCo₂O₄@MnO₂ as cathode and graphene/nickel foam (NF) as anode. The MnCo₂O₄@MnO₂//graphene/NF asymmetric device shows a high energy density of 85.7 Wh kg⁻¹ at a power density of 800 W kg⁻¹ while maintaining a high energy density of 34.7 Wh kg⁻¹ at 24 kW kg⁻¹. Moreover, the device demonstrates a long-term cycling stability of 81.6 % retention of its initial specific capacitance.