  We establish a holographic bottom-up model which covers both the baryonic and
quark matter phases in cold and dense QCD. This is obtained by including the
baryons using simple approximation schemes in the V-QCD model, which also
includes the backreaction of the quark matter to the dynamics of pure
Yang-Mills. We examine two approaches for homogeneous baryon matter: baryons as
a thin layer of noninteracting matter in the holographic bulk, and baryons with
a homogeneous bulk gauge field. We find that the second approach exhibits
phenomenologically reasonable features. At zero temperature, the vacuum,
baryon, and quark matter phases are separated by strongly first order
transitions as the chemical potential varies. The equation of state in the
baryonic phase is found to be stiff, i.e., the speed of sound clearly exceeds
the value $c_s^2=1/3$ of conformal plasmas at high baryon densities.
