  In this work we consider the effect of an $R^2$ term on the kinetic
misalignment axion theory. By using the slow-roll assumptions during inflation
and the field equations, we construct an autonomous dynamical system for the
kinetic axion, including the effects of the $R^2$ term and we solve numerically
the dynamical system. As we demonstrate, the pure kinetic axion attractor is
transposed to the right in the field phase space, and it is no longer
$(\phi,\dot{\phi})=(\langle \phi \rangle,0)$, but it is
$(\phi,\dot{\phi})=(\langle \phi '\rangle,0)$, with $\langle \phi '\rangle\neq
0$ some non-zero value of the scalar field with $\langle \phi '\rangle> \langle
\phi \rangle$. This feature indicates that the kinetic axion mechanism is
enhanced, and the axion oscillations are further delayed, compared with the
pure kinetic axion case. The phenomenological implications on the duration of
the inflationary era, on the commencing of the reheating era and the reheating
temperature, are also discussed.
