In this paper, we study pseudo almost automorphic solutions to perturbations to Eq.\;(\ref{1}) consisting of the class of abstract partial evolution equations of the form \begin{eqnarray}\label{2} \displaystyle{\frac{d}{dt}} \left[u(t) + f(t, u(t))\right] = A u(t) \; \; t \in \R, \end{eqnarray} where $A$ is the infinitesimal generator of an exponentially stable $c_0$-semigroup acting on $\X$, $B, C$ are two densely defined closed linear operators on $\X$, and $f$ is continuous functions. Under some appropriate assumptions, we establish the existence and uniqueness of an almost automorphic (mild) solution to Eq.\,(\ref{2}) using the Banach fixed-point principle.