  This paper explores exact cosmological solutions of anisotropic universe
model through Noether symmetry technique in energy-momentum squared gravity.
This theory resolves the primordial singularity and provides viable
cosmological consequences in the early universe. We consider specific models of
this theory and evaluate Noether equations, symmetry generators and
corresponding conserved parameters. We then find exact solutions through
conserved parameters and analyze their graphical behavior for different
cosmological parameters. It is found that the behavior of these parameters is
consistent with recent observations indicating that this theory supports
current cosmic accelerated expansion. We conclude that conserved parameters are
very helpful to obtain exact cosmological solutions.
