  We present the first complete simulation framework for the simulation of jet
production in diffractive events at next-to leading order in QCD, matched to
the parton shower. We validate the implementation in the SHERPA event generator
with data from the H1 and ZEUS experiments for diffractive DIS and diffractive
photoproduction. For the latter, we review different models aiming to explain
the observed factorisation breaking and we argue that at NLO the direct
component must also be suppressed. We provide predictions for diffractive jet
production both in DIS and in photoproduction events for the upcoming EIC.
