  Let $ \mathcal{H}(\mathbb{D}) $ be the class of all holomorphic functions in
the unit disk $ \mathbb{D} $. We aim to explore the complex symmetry exhibited
by generalized weighted composition-differentiation operators, denoted as
$L_{n, \psi, \phi}$ and is defined by \begin{align*}
  L_{n, \psi, \phi}:=\sum_{k=1}^{n}c_kD_{k, \psi_k, \phi},\; \mbox{where }\;
c_k\in\mathbb{C}\; \mbox{for}\; k=1, 2, \ldots, n, \end{align*} where $ D_{k,
\psi, \phi}f(z):=\psi(z)f^{(k)}(\phi(z)),\; f\in
\mathcal{A}^2_{\alpha}(\mathbb{D}), $ in the reproducing kernel Hilbert space,
labeled as $\mathcal{A}^2_{\alpha}(\mathbb{D})$, which encompasses analytic
functions defined on the unit disk $\mathbb{D}$. By deriving a condition that
is both necessary and sufficient, we provide insights into the $ C_{\mu, \eta}
$-symmetry exhibited by $L_{n, \psi, \phi}$. The explicit conditions for which
the operator T is Hermitian and normal are obtained through our investigation.
Additionally, we conduct an in-depth analysis of the spectral properties of $
L_{n, \psi, \phi} $ under the assumption of $ C_{\mu, \eta} $-symmetry and
thoroughly examine the kernel of the adjoint operator of $L_{n, \psi, \phi}$.
