  The paper explores a plane symmetric cosmological model within the framework
of the Lyra manifold, incorporating interactions among various fields. These
fields include a charged perfect fluid, a mass-less scalar field, and an
electromagnetic field. The study focuses on deriving relativistic field
equations and exact solutions for this complex system. The relationships
between the scalar field (\b{eta}) and the average scale factor (a(t)), as well
as between the metric potentials, are assumed to solve the nonlinear field
equations. Two specific expansion models are examined: 1) Exponential expansion
and 2) Power law expansion. The research delves into the dynamic parameters
behavior, observing changes in pressure, density, and cosmological parameters
across different models. The findings indicate that while the Universe is
expanding, the rate of expansion can vary among the different models. The
investigation also involves kinematic parameters, such as jerk and snap
parameters derived from the scale factor variation, and compares them to the
{\Lambda}CDM model.
