  We demonstrate how to describe in an unified way early and late-time
acceleration in the context of mimetic $F(R)$ gravity. As we show, an
exponential $F(R)$ gravity model has appealing features, with regard to
unification, and we perform an analysis of the late-time evolution. The
resulting picture is interesting since in the mimetic case, certain pathologies
of some ordinary $F(R)$ models are remedied in a consistent way, owing to the
presence of the mimetic potential and the Lagrange multiplier. We quantify the
late-time evolution analysis by studying the scaled dark energy density, the
dark energy equation of state and the total effective equation of state, and as
we show the late-time evolution is crucially affected by the functional form of
the $F(R)$ gravity. It is intriguing that the most appealing case corresponds
to the exponential $F(R)$ gravity which unifies late and early-time
acceleration. Finally, we study the behavior of the effective gravitational
constant and the growth factor, and as we show, significant differences between
the mimetic and ordinary $F(R)$ exponential model are spotted in the growth
factor.
