We present screening dependence theoretical investigations of the superconducting state parameters, i.e. electron-phonon coupling strength λ, Coulomb pseudopotential μ*, transition temperature TC, isotope effect exponent α, and effective interaction strength N0V, of some BMG superconductors, namely Nb0.45Ta0.45Mo0.10, Nb0.30Ta0.40Mo0.30, Nb0.40Ta0.30Mo0.30, Nb0.30Ta0.30Mo0.40 and Nb0.15Ta0.15Mo0.70 by employing the well-known empty core model potential of Ashcroft for the first time. Five local field correction functions proposed by Hartree, Taylor, Ichimaru-Utsumi, Farid et al. and Sarkar et al. are used in the present investigation to study the screening influence on the aforesaid superconducting properties. The transition temperature TC obtained from the H-local field correction function is found to be in an excellent agreement with the available theoretical data. Also, the present results are found to be in qualitative agreement with other such earlier reported data, which confirms the superconducting phase in the superconductors.