  The equation of state parameter is a significant method for characterizing
dark energy models. We investigate the evolution of the equation of state
parameter with redshift using a Bayesian analysis of recent observational
datasets (the Cosmic Chronometer data (CC) and Pantheon samples). The
Chevallier-Polarski-Linder parametrization of the effective equation of state
parameter, $\omega_{eff}=\omega_0+\omega_a \left( \frac{z}{1+z}\right) $, where
$\omega_0$ and $\omega_a$ are free constants, is confined to the Weyl type
$f(Q,T)$ gravity, where $Q$ represents the non-metricity and $T$ is the trace
of the energy-momentum tensor. We observe the evolution of the deceleration
parameter $q$, the density parameter $\rho$, the pressure $p$, and the
effective equation of state parameter $\omega$. The cosmic data limit for
$\omega$ does not exclude the possibility of $\omega < -1$. It is seen that the
parameter $\omega$ shows a transition from deceleration to acceleration, as
well as a shift from $\omega>-1$ to $\omega<-1$.
