  This paper discusses the gravitational collapse of dynamical self-gravitating
fluid distribution in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ gravity, where
$\mathcal{Q}=\mathcal{R}_{\varphi\vartheta}\mathcal{T}^{\varphi\vartheta}$. In
this regard, we assume a charged anisotropic spherical geometry involving
dissipation flux and adopt standard model of the form
$\mathcal{R}+\Phi\sqrt{\mathcal{T}}+\Psi\mathcal{Q}$, where $\Phi$ and $\Psi$
symbolize real-valued coupling parameters. The Misner-Sharp as well as
M\"{u}ler-Israel Stewart mechanisms are employed to formulate the corresponding
dynamical and transport equations. We then interlink these evolution equations
which help to study the impact of state variables, heat dissipation, modified
corrections and charge on the collapse rate. The Weyl scalar is further
expressed in terms of the modified field equations. The necessary and
sufficient condition of conformal flatness of the considered configuration and
homogeneous energy density is obtained by applying some constraints on the
model along with disappearing charge and anisotropy. Finally, we discuss
different cases to investigate how the spherical matter source is affected by
the charge and modified corrections.
