  In this study we combine the background and the growth rate data in order to
study the ability of the two oscillating dark energy parameterizations, to fit
the observational data. Using the likelihood and MCMC method we try to explore
the posterior space and put constraints on the free parameters of the models.
Based on the values of the well known Akaike and Bayesian information criteria
we find that both of oscillating dark energy models considered in this work are
disfavored by the combined (background+growth rate) data. Although using the
expansion data we can not reject oscillating dark energy models, the combined
analysis provides strong evidences against these models.
