We propose a surface growth model for binary species in (2+1)-
dimensions, in which we consider the effect of the interplay between deposition,
overhang, evaporation and surface diffusion processes on the kinetics of
growth. Numerical simulations show that the extracted exponents deviate from
the known universality classes. The model shows that when evaporation occurs
frequently, the surface tends to be rougher even in the presence of surface
relaxation.