Engineering and designing unique and novel morphologies is a smart way to tune the characteristics of the material. In this work, beyond the existing knowledge, we have focused on developing novel methods for synthesis of high performance CuCo₂S₄ (CCS) and Graphene nanostructured material for supercapacitor application. We first developed a rich mesoporous CCS-graphene structure, and for further enhancement of electrochemical performance, we incorporated nitrogen(N) and sulfur(S) into the graphene (NS-pG) framework. Further, through a controllable synthesis procedure dominated by nucleation and growth mechanism, we could obtain a highly ordered array of CuCo₂S₄ microspheres on the surface of graphene sheets, which is confirmed by FESEM images. Successful material modifications have led to realize a novel hybrid CuCo₂S₄/NS-pG composite structure with remarkable electrochemical performance.  The as-obtained, tuned hybrid CuCo₂S₄/NS-pG composite structure exhibited great surface area, excellent structural stability, and high electrical conductivity due to its modified, engineered morphology. Based on these unique advantages, the hybrid CuCo₂S₄/NS-pG composite-based electrode revealed exceptional specific capacitance of 1357.8 F g^-1 at 1 A g^-1, superior cycle performance of 95.9% after 5000 cycles, and distinguished maximum energy and power density of 80.59 W h kg^-1 and 10479.53 W kg^-1, respectively, which are superior to the performance of any reported CuCo₂S₄ electrodes.