The design of symmetric electrodes is crucial for balancing the energy and power densities of lithium-ion capacitors (LIC). In the present work, we have synthesized anode and cathode materials for dual carbon LIC using a single carbon source derived from resorcinol-formaldehyde xerogel (RFC). To facilitate intercalation in the anode, presence of graphitic domains is essential. We have achieved this by catalytically graphitizing RFX using Fe and Co catalyst (AFCRFC) at a modest temperature of 1100 oC. For the cathode, we have activated the RFC (ARFC), which resulted in the specific surface area (SSA) of 1182.4 m2 g-1, with a large number of micropores, making it suitable for a capacitive electrode. The prelithiated AFCRFC anode and ARFC cathode in the full cell with a 1:2 mass configuration demonstrated a high specific capacitance of 171.4 F g-1 at 0.2 A g-1. This system exhibited a high energy density of 117 Wh kg-1 at a power density of 194 W kg-1 and retained a capacitance of 69% for 130000 cycles at 1A g-1. Furthermore, the mechanistic behavior of LIC was investigated below and above open circuit voltage (OCV) to analyze diffusion and absorptive contribution to performance. This work tackles the major drawbacks of LIC by balancing energy and power density with superior electrochemical performance, paving the way for the development of next-generation energy storage devices.