  In this paper, we determine the electromagnetic effects on the complexity
factor of radiating anisotropic cylindrical geometry in the background of
$f(G,\mathcal{T})$ theory. The self-gravitating objects possessing
inhomogeneous energy density, pressure anisotropy, heat flux, charge and
correction terms appear to encounter the complexity producing phase. Herrera's
orthogonal splitting method is used to identify the scalar functions in which
the factor that incorporates all of the fundamental aspects of the system is
assumed to be the complexity factor. We also look at the evolution of charged
cylindrical matter source by selecting homologous pattern as the most basic
evolutionary mode. In addition to this, homologous and complexity free
conditions are utilized to address dissipative as well as non-dissipative
scenarios. The complexity producing parameters throughout the evolutionary
process are assessed at the end. It is concluded that the complexity of the
astrophysical entities is elevated due to the contribution of charge and
modified terms of this theory.
