The ATHENA observatory is the second large-class ESA mission, in the context of the Cosmic Vision 2015–2025, scheduled to be launched on 2028 at L2 orbit. One of the two planned focal plane instruments is the X-ray Integral Field Unit (X-IFU), which will be able to perform simultaneous high-grade energy spectroscopy and imaging over the 5 arcmin FoV by means of a kilo-pixel array of transition-edge sensor (TES) microcalorimeters, coupled to a high-quality X-ray optics. The X-IFU sensitivity is degraded by the particle background, induced by primary protons of both solar and cosmic rays’ origin and secondary electrons. A Cryogenic AntiCoincidence (CryoAC) TES-based detector, located \(<\)1 mm below the TES array, will allow the mission to reach the background level that enables its scientific goals. The CryoAC is a 4-pixel detector made of Silicon absorbers sensed by Iridium TESs. We currently achieve a TRL \(=\) 3–4 at the single-pixel level. We have designed and developed two further prototypes in order to reach TRL \(=\) 4. The design of the CryoAC has been also optimized using the Geant4 simulation tool. Here we will describe some results from the Geant4 simulations performed to optimize the design and preliminary test results from the first of the two detectors, 1 cm\(^{2}\) area, made of 65 Ir TESs.