  For the spherically symmetric static traversable wormholes, supported by the
Casimir energy in $f(\mathcal{R})=\mathcal{R}+\alpha \mathcal{R}^2$ Quadratic,
$f(\mathcal{R})=f_0 \mathcal{R}^n$ power-law Modified Gravity (MOG) theories we
investigate energy conditions and dynamical stability of the wormhole
solutions. Especially, we study Zero Tidal Forces (ZTF) Casimir WH's with
anisotropic fluid located at the throat. By using the Casimir energy density
and modified Einstein Field Equations (EFE's) we derived suitable shape
functions for each modified gravity of our consideration. The stability of
Casimir traversable wormholes in different modified gravity theories is also
analyzed in our paper with a modified Tolman-Oppenheimer-Voklov (MTOV)
equation. Besides, we have numerically solved MTOV and derived hydrodynamical,
anisotropic and extra forces, that is present due to the non-conserved
stress-energy tensor. Moreover, other fundamental quantities, such as Volume
Integral Quantifier and total gravitational energy were derived.
