  An exponential kind of quintessential inflation potential motivated by
supergravity is studied. This type belongs to the class of $\alpha$-attractor
models. The model was studied for the first time in [1] where the authors
introduced a Cosmological Constant in order to ensure quintessence at late
times. However, in this note we disregard this Cosmological Constant, showing
that the obtained results are very close to the ones obtained recently in the
context of Lorenzian Quintessential Inflation, and thus, depicting with great
accuracy the early and late time acceleration of our universe. The model is
compatible with the recent observations. Finally, we review the treatment of
$\alpha$-attractor and we show that other forms of the potential does not
depict the late time accelerated universe as the simple model.
