  The cosmological consequences of an interacting model in which vacuum decay
law is deducted from the effect that vacuum decay has on the dark matter
evolution are investigated. Here, the baryonic matter is also considered as a
fluid gravitationally coupled with dark matter. It is made a careful analysis
to constrain this model with the observational data of growth rate of cosmic
structures. The theoretical growth rate is followed since the primordial
recombination and the main physical processes on the baryonic component are
considered. As a complementary constraint, this model is compared with the
observed CMB-BAO ratio as well with the gas mass fraction of cluster of
galaxies. We found the best fit values for dark matter $\Omega_{d0} = 0.269
^{+0.023}_{-0.023}$ and for the decay parameter $\epsilon = 0.02
^{+0.04}_{-0.05}$.
