  It turns out that many integrable $\sigma$-models on group manifolds belong
to the class of the so-called ${ \mathcal E}$-models which are relevant in the
context of the Poisson-Lie T-duality. We show that this is the case also for
the Yang-Baxter $\sigma$-model with WZNW term introduced by Delduc, Magro and
Vicedo in \cite{DMV15}.
