Non aqueous liquid electrolyte system based dimethyl sulfoxide, tetraethylene glycol dimethyl ether (DMTG) and magnesium perchlorate (Mg(ClO₄)₂) is synthesized via ‘Solvent-in-Salt' method for the application in magnesium battery. Impedance spectroscopy, dielectric properties, and ion transport were used to characterize the nature of conduction process. The conductivity conformation with the addition of (Mg(ClO₄)₂) can be explained on the basis of dissociation of ion aggregates formed in electrolytes at higher concentrations of the salt. The ionic conductivity of the electrolyte increased with addition of salt reached to the highest conductivity value of ≈ 10^-3 S.cm^-1 at 0.22 M Mg(ClO₄)₂. The frequency dependence of AC conductivity obeys special power law. The estimated value of Mg⁺² ion transference number is found to be 0.68 for high conducting film. A prototype cell was constructed using the non-aqueous liquid electrolyte with Mg anode and TiO₂ cathode. The Mg/ TiO₂ cell shows promising cycling. The discharge characteristics are found to be satisfactory as a laboratory cell. Mg intercalation into TiO₂ was confirmed by energy dispersive X-ray spectroscopy (EDS).