  We investigate rough differential equations with a time-dependent reflecting
lower barrier, where both the driving (rough) path and the barrier itself may
have jumps. Assuming the driving signals allow for Young integration, we
provide existence, uniqueness and stability results. When the driving signal is
a c\`adl\`ag $p$-rough path for $p \in [2,3)$, we establish existence to
general reflected rough differential equations, as well as uniqueness in the
one-dimensional case.
