  In this letter we study the semi holographic model which corresponds to the
radiative version of the model proposed by Zhang et al. (Phys. Lett. B 694
(2010), 177) and revisited by C\'ardenas et al. (Mon. Not. Roy. Astron. Soc.
438 (2014), 3603). This inclusion makes the model more realistic, so allows us
to test it with current observational data and then answer if the inconsistency
reported by C\'ardenas et al. is relaxed.
