The paper presents an updated version of the GALaxy Evolution and Assembly (GAEA) theoretical model for galaxy formation, which combines improved treatments of AGN feedback and satellite galaxy stripping. The new model predicts specific star formation rate (sSFR) distributions that align well with observational measurements in the local Universe, showing good agreement with quenched fractions up to \(z \sim 3-4\) and a turnover in the number densities of quenched galaxies at low stellar masses. The improvements are attributed to better treatments of satellite galaxies at low masses and quasar winds at intermediate to large masses. The model also better captures the star formation threshold, reducing excessive residual star formation in massive galaxies. The paper discusses the impact of different selection criteria on the predictions and compares the model's predictions with observational data from various surveys, including the James Webb Space Telescope (JWST). The updated GAEA model predicts higher number densities of massive quiescent galaxies at \(z > 3\) compared to previous models, but still falls short of some JWST observations. The cosmic variance is noted to be large, and the model's predictions are consistent with current observational estimates up to \(z \sim 3\).The paper presents an updated version of the GALaxy Evolution and Assembly (GAEA) theoretical model for galaxy formation, which combines improved treatments of AGN feedback and satellite galaxy stripping. The new model predicts specific star formation rate (sSFR) distributions that align well with observational measurements in the local Universe, showing good agreement with quenched fractions up to \(z \sim 3-4\) and a turnover in the number densities of quenched galaxies at low stellar masses. The improvements are attributed to better treatments of satellite galaxies at low masses and quasar winds at intermediate to large masses. The model also better captures the star formation threshold, reducing excessive residual star formation in massive galaxies. The paper discusses the impact of different selection criteria on the predictions and compares the model's predictions with observational data from various surveys, including the James Webb Space Telescope (JWST). The updated GAEA model predicts higher number densities of massive quiescent galaxies at \(z > 3\) compared to previous models, but still falls short of some JWST observations. The cosmic variance is noted to be large, and the model's predictions are consistent with current observational estimates up to \(z \sim 3\).