  Three different definitions of effective temperature -- $\mathcal{T}_{\rm
k}$, $\mathcal{T}_{\rm i}$ and $\mathcal{T}_{\rm r}$ related to kinetic theory,
system entropy and response theory, respectively -- are applied in the
description of a non-equilibrium generalised massive Langevin model in contact
with dichotomous noise. The differences between the definitions of
$\mathcal{T}$ naturally wade out as the reservoir reaches its white-noise
limit, approaching Gaussian features. The same framework is employed in its
overdamped version as well, showing the loss of inertial contributions to the
dynamics of the system also makes the three mentioned approaches for effective
temperature equivalent.
