  In this paper, we prove that the deformed Riemannian extension of any affine
Szab\'o manifold is a Szab\'o pseudo-Riemannian metric and vice-versa. We
proved that the Ricci tensor of an affine surface is skew-symmetric and nonzero
everywhere if and only if the affine surface is Szab\'o. We also find the
necessary and sufficient condition for the affine Szab\'o surface to be
recurrent. We prove that for an affine Szab\'o recurrent surface the recurrence
covector of a recurrence tensor is not locally a gradient.
