  The Andreev reflection of the normal state-superconductor junction both in
monolayer and bilayer graphene with a single magnetic barrier is investigated
by means of the Green's function formalism. Within the tight-binding model, we
study the direction-dependent Andreev reflection of two-dimensional
graphene-superconductor junctions in the specular and retro-reflection regimes.
The presence of a magnetic barrier close to the superconducting hybrid junction
introduces a rich phenomenology. Such a barrier is capable of tuning the
preferred angles of incidence for the Andreev reflection. In particular, it can
enhance the specular reflection probability for certain angles of incidence in
bilayer-based hybrid structures. When transmission is permitted, the Andreev
reflection manifests itself in isolated peaks and asymmetric resonances
associated with offsets and Fano-type oscillations in the transmission,
respectively. Moreover, Fabry-P\'{e}rot oscillations in the Andreev reflection
due to the interior scattering inside the magnetic barrier may appear. The
impacts of magnetic barriers on the monolayer and bilayer hybrid interfaces are
furthermore studied by calculating the differential conductances within the
Blonder-Tinkham-Klapwijk formula.
