  The simultaneous co-existence and gate-tuneability of the superconducting
(SC), magnetic and topological orders in magic angle twisted bilayer graphene
(MATBG) open up entirely new possibilities for the creation of complex hybrid
Josephson junctions (JJ). Here we report on the creation of gate-defined,
magnetic Josephson junctions in MATBG, where the weak link is gate-tuned close
to the correlated state at a moir\'e filling factor of {\nu}=-2. A highly
unconventional Fraunhofer pattern emerges, which is phase-shifted and
asymmetric with respect to the current and magnetic field directions, and shows
a pronounced magnetic hysteresis. Interestingly, our theoretical calculations
of the JJ with a valley polarized {\nu}=-2 with orbital magnetization as the
weak link explain most of these unconventional features without fine tuning the
parameters. While these unconventional Josephson effects persist up to the
critical temperature Tc ~ 3.5K of the superconducting state, at temperatures
below T < 800mK, we observed a pronounced magnetic hysteresis possibly due to
further spin-polarization of the {\nu}=-2 state. We demonstrate how the
combination of magnetization and its current induced magnetization switching in
the MATBG JJ allows us to realize a programmable zero field superconducting
diode, which represents a major building block for a new generation of
superconducting quantum electronics.
