The main purpose of this article is to study the bivariate approximation generalization for Baskakov-Durrmeyer-operators with the aid of non-negative parametric variants suppose 0 ≤ α 1 , α 2 ≤ 1. We obtain the order of approximation by use of the modulus of continuity in terms of well known Peetre's K-functional, Voronovskaja type theorems and Lipschitz maximal functions. Further, we also discuss here the approximation properties of the operators in Bögel-spaces by use of mixed-modulus of continuity