Two unique materials were developed, like graphene oxide (GO) sheets covalently grafted on to barium titanate (BT) nanoparticles and cobalt nanowires (Co-NWs), to attenuate the electromagnetic (EM) radiations in PVDF based composites. The rationale behind using either a ferroelectric or a ferromagnetic material in combination with intrinsically conducting nanofillers (multiwall carbon nanotubes, CNTs), is to induce both electrical and magnetic dipoles in the system. Two key properties namely, enhanced dielectric constant and magnetic permeability were determined. PVDF/BT-GO composites exhibited higher dielectric constant compared to PVDF/BT and PVDF/GO composites. Cobalt nanowires (Co-NWs), which was synthesized by electro deposition, exhibited saturation magnetization (Ms) of 40 emu/g and coercivity (Hc) of 300 Gauss. Three phase hybrid composites were prepared by mixing CNTs with either BT-GO or Co-NWs in PVDF by solution blending. These nanoparticles showed high electrical conductivity and significant attenuation of EM radiations both in the X-band and the Ku-band frequency. In addition, BT-GO/CNT and Co-NWs/CNT particles also enhanced the thermal conductivity of PVDF by ca. 8.7 and 9.3 folds in striking contrast to neat PVDF. This study open new avenues to design flexible and light weight EMI shielding materials by careful selection of functional nanofillers.