Cosmological constraints on entropic cosmology with matter creation

We investigate entropic force cosmological models with the possibility of matter creation and energy exchange between bulk horizon a homogeneous an isotropic flat Universe. consider three different kinds entropy, Bekenstein's, non-extensive Tsallis-Cirto's quartic plus some phenomenological functional forms for rate to model put observational constraints on them. show that while most them are basically indistinguishable from standard $\Lambda$CDM scenario, Bekenstein proportional Hubble parameter is statistically highly favored over $\Lambda$CDM. As general result, we also find both Hawking temperature $\gamma$, which relates boundary Universe, $\Gamma(t)$, must be very small in order reproduce data.