  We propose a new platform to detect signatures of the presence of Majorana
bound states (MBSs) in the Fraunhofer pattern of Josephson junctions featuring
quantum spin Hall edge states on the normal part and Majorana bound states at
the NS interfaces. We use a tight-binding model to demonstrate a drastic change
in the periodicity of the Fraunhofer pattern when comparing trivial and
non-trivial regimes. We explain these results in terms of the presence of
additional parallel-spin electron-hole reflections, which due to the
spin-momentum locking, occur as cross Andreev reflections, accumulating a
different magnetic flux and yielding a change in the Fraunhofer periodicity. We
show that this detection scheme exhibits some advantages compared to previous
ones as it is robust against disorder, finite temperature and works in
equilibrium. Furthermore, we introduce a scattering model that captures the
main results of the microscopic calculations with MBSs and extend our
discussion to the main differences found using accidental zero energy ABSs.
