  We consider transport through a Josephson junction consisting of a
conventional s-wave superconductor coupled via a double quantum dot to a
noncentrosymmetric superconductor with both, singlet and triplet pairing. We
calculate the Andreev bound state energies and the associated Josephson
current. We demonstrate that the current-phase relation is a sensitive probe of
the singlet-triplet ratio in the noncentrosymmetric superconductor. In
particular, in the presence of an inhomogeneous magnetic field the system
exhibits a $\varphi$-junction behavior.
