We present a multiwavelength analysis of the properties of Extremely Red Galaxy populations, selected in the GOODS-South/Chandra Deep Field South field. By using all the photometric and spectroscopic information available on samples of Extremely Red Objects, Distant Red Galaxies and IRAC Extremely Red Objects, we derive redshift distributions, identify AGN powered and Star-formation powered galaxies, and, using the radio observations of this field, estimate robust (AGN and dust unbiased) Star Formation Rate Densities for these populations. We find a significant overlap between these populations of Extremely Red Galaxies, and investigate the properties of ``pure'' (e.g., EROs that are not DRGs) and ``combined'' (e.g., galaxies that are both EROs and IEROs) sub-populations. We find that extremely red galaxies with no AGN activity display intense star-formation rates, up to ULIRG levels, and that the star-formation rate density from these populations can substantially increase previous estimates. We detect a clear tendency for the reddest objects to emit more strongly at radio frequencies, and that a proper and comprehensive separation between galaxies and AGNs is necessary to obtain meaningful results.