Based on the generalized Lorenz-Mie theory (GLMT), the incident fundamental Gaussian beam is expanded in terms of the vector spherical harmonics. According to localized approximation for the expanding coefficients gmn of Gaussian beam which are arbitrarily located to a spherical particle are derived. The recursive formulas as well as the algorithm to calculated scattering coefficients anm and bnm for a multilayered sphere are proposed. Numerical results and the dependence of scattering charicteristics on beam waist and the size of the particle are discussed.