We investigate the far eld diraction process produced by diraction gratings with two roughness levels such as steel tape gratings, which are used in environments where diraction gratings made of glass are not possible. We obtain the analytical formulation describing the formation of diraction orders in terms of the roughness parameters. Since roughness is stochastic, we use the mutual coherence function to propagate the eld to the Fraunhofer regime. We conclude that diraction orders exists when, at least, one correlation length of both roughness is larger than the period of the grating and the standard deviation on heights is around or larger than the illumination wavelength. Finally, we corroborate the analytical results with numerical simulations based of the Fast Fourier Transform, showing a high agreement.