  In this paper, we consider Einstein-Hilbert gravity in the presence of
cosmological constant and an electric field of Yang-Mills type, which is
minimally coupled to gravity. We couple the Ricci scalar to the Yang-Mills
invariant to obtain a modified theory of gravity. The black brane solution of
this model is introduced up to the first order of the $RF^{(a)}_{\mu \alpha
}F^{(a)\mu \alpha} $ term. Then, the color non-abelian direct current (DC)
conductivity and the ratio of shear viscosity to entropy density are calculated
for this solution. Our results recover the Yang-Mills Schwarzschild AdS black
brane in the limit of $q_2 \to 0$.
