An efficient model-order reduction technique for general RLC networks is proposed. The method is extended from the previous projection-base moment matching method with considering both the circuit network and its corresponding adjoint network. By exploring symmetric properties of the MNA formulation, the proposed method needs only one half of the system moment information compared with the previous ones. Passivity of the reducedorder model is still preserved. The relationship between the adjoint network and the sensitivity analysis will also be discussed. Experimental results will demonstrate the accuracy and the efficiency of the proposal method.