  This article focuses on the formulation of some scalar factors which are
uniquely expressed in terms of matter variables for dynamical charged
dissipative cylindrical geometry in a standard gravity model
$\mathcal{R}+\Phi\mathcal{Q}$ ($\Phi$ is the coupling parameter,
$\mathcal{Q}=\mathcal{R}_{\varphi\vartheta}\mathcal{T}^{\varphi\vartheta}$) and
calculates four scalars by orthogonally decomposing the Riemann tensor. We find
that only $\mathcal{Y}_{TF}$ involves inhomogeneous energy density, heat flux,
charge and pressure anisotropy coupled with modified corrections, and thus call
it as complexity factor for the considered distribution. Two evolutionary modes
are discussed to study the dynamics of cylinder. We then take the homologous
condition with $\mathcal{Y}_{TF}=0$ to calculate unknown metric potentials in
the absence as well as presence of heat dissipation. The stability criterion of
the later condition is also checked throughout the evolution by applying some
constraints. We conclude that the effects of charge and modified theory yield
more complex system.

General Relativity and Quantum Cosmology