In this paper, we prove a general theorems on generating functions involving the two-parameter three-variable Srivastava polynomials, Hermite polynomials and Legendre Polynomials of pseudo two variables. Some applications of these theorems lead us to derive several bilateral generating functions involving some well-known classical polynomials of one variable which are contained by the two-parameter three-variable Srivastava polynomials. MSC 2010: 33C45, 33C05, 33C65.