We examine the latest measurements coming from the COHERENT experiment within a fully realized effecyive field theory framework. To do so, we put forward a formalism which for the first time models correctly within the quantum field theory environment the interplay between production and detection. We use it to perform a complete phenomenological analysis for coherent elastic neutrino-nuclei scattering data measured at the COHERENT experiment on Argon and Cesium-Iodium nuclei considering as observables not only the total number of events but also the recoil energy and timing distributions.