  In this paper, we try to consider the stability conditions of a modified
gravity coupled by Weyl tensor. In this way, we indicate the suitable
conditions for a successful bounce while the equation of state (EoS) parameter
crosses the phantom divider for our new corrected modified gravity. In the
spatially flat Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) universe,
according to the ordinary version of the holographic dark energy (HDE) model,
describing accelerated expansion of the universe, will be considered. Our
model's stability conditions and its general properties of attractors for
scalar field scripts which control cosmological acceleration will be checked.
The statefinder diagnostic parameters of our model will be compared by today's
observational data and defined methods. However its EoS parameter will be
obtained, too.
