  In this paper, we study the deflection angle for wormhole-like static aether
solution by using Gibbons and Werner technique in non-plasma, plasma, and dark
matter mediums. For this purpose, we use optical spacetime geometry to
calculate the Gaussian optical curvature, then implement the Gauss-Bonnet
theorem in weak field limits. Moreover, we compute the deflection angle by
using a technique known as Keeton and Petters technique. Furthermore, we
analyze the graphical behavior of the bending angle $\psi$ with respect to the
impact parameter $b$, mass $m$ as an integration constant, and parameter $q$ in
non-plasma and plasma mediums. We examine that the deflection angle is
exponentially increasing as direct with charge. Also, we observe that for small
values of $b$, $\psi$ increases, and for large values of $b$ the angle
decreases. We also considered analysis to the shadow cast of the wormhole
relative to an observer at various locations. Comparing it the Schwarzschild
shadow, shadow cast is possible for wormhole as $r<2m$. At $r>2m$, the
Schwarzschild is larger. As $r\to \infty$, we have seen that the behavior of
the shadow, as well as the weak deflection angle, approaches that of the
Schwarzschild black hole. Overall, the effect of plasma tends to decrease the
value of the observables due to the wormhole geometry.
