In this work we explore some properties and their implications at thermodynamics level of the particle and future horizons when are considered as candidates to model the dark energy within a holographic context for a flat Friedmann-Lemaitre-Robertson-Walker universe. Under these considerations we can find that the model admits a genuine big rip singularity when the dark energy density is sketched by the future horizon, in consequence the resulting parameter state can cross to the phantom regime. For the particle horizon case the cosmological fluid can emulate ordinary matter. Additionally, the coincidence parameter has a decreasing behavior for the future horizon. On the other hand, from the interacting scheme for cosmological fluids we obtain that in the dark energy -dark matter interaction, the dark energy fluid will have negative entropy production, therefore the second law of thermodynamics can not be guaranteed in this sector. PACS numbers: 95.36.+x, 95.35.+d,