  For a general class of analytic
$f(R,R_{\alpha\beta}R^{\alpha\beta},R_{\alpha\beta\gamma\delta}R^{\alpha\beta\gamma\delta})$
we discuss the gravitational lensing in the Newtonian Limit of theory. From the
properties of Gauss Bonnet invariant it is successful to consider only two
curvature invariants between the Ricci and Riemann tensor. Then we analyze the
dynamics of photon embedded in a gravitational field of a generic
$f(R,R_{\alpha\beta}R^{\alpha\beta})$-Gravity. The metric is time independent
and spherically symmetric. The metric potentials are Schwarzschild-like, but
there are two additional Yukawa terms linked to derivatives of $f$ with respect
to two curvature invariants. Considering the case of a point-like lens, and
after of a generic matter distribution of lens, we study the deflection angle
and the images angular position. Though the additional Yukawa terms in the
gravitational potential modifies dynamics with respect to General Relativity,
the geodesic trajectory of photon is unaffected by the modification in the
action by only $f(R)$. While we find different results (deflection angle
smaller than one of General Relativity) only thank to introduction of a generic
function of Ricci tensor square. Finally we can affirm the lensing phenomena
for all $f(R)$-Gravities are equal to the ones known from General Relativity.
We conclude the paper showing and comparing the deflection angle and image
positions for $f(R,R_{\alpha\beta}R^{\alpha\beta})$-Gravity with respect to
ones of General Relativity.
