  We analytically calculate the anomalous transverse electric and thermal
currents in massive and tilted Dirac systems, using $ \beta $-borophene as a
representative material, and report on conditions under which the corresponding
Lorenz number $\left(\mathcal{L}_{an}\right)$ deviates from its classically
accepted value $\left(\mathcal{L}_{0}\right)$. The deviations in the
high-temperature regime are shown to be an outcome of the quantitative
difference in the respective kinetic transport expressions for electric
$\left(\sigma\right)$ and thermal $\left(\kappa\right)$ conductivity, and are
further weighted through a convolution integral with a non-linearly
energy-dependent Berry curvature that naturally arises in a Dirac material. In
addition, the tilt and anisotropy of the Dirac system that are amenable to
change via external stimulus are found to quantitatively influence $
\mathcal{L}_{an} $. The reported deviations from $\mathcal{L}_{0} $ hold
practical utility inasmuch as they allow an independent tuning of $\sigma $ and
$ \kappa $, useful in optimizing the output of thermoelectric devices.
