  In this paper, we investigate complexity of anisotropic cylindrical object
under the influence of electromagnetic field in $f(G,T)$ theory, where $G$ and
$T$ indicate the Gauss-Bonnet term and trace of the stress-energy tensor,
respectively. For this purpose, we calculate the modified field equations,
non-conservation equation and mass distributions that assist in comprehending
the structure of astrophysical objects. The Riemann tensor is divided into
different structure scalars, among which one is called the complexity factor.
This factor is used to measure complexity of the system due to the involvement
of inhomogeneous energy density, anisotropic pressure and charge. The vanishing
of the complexity factor is employed as a constraint to formulate charged
static solutions for the Gokhroo-Mehra model and polytropic equation of state.
We conclude that the presence of charge reduces the complexity of the
anisotropic system.
