We present the first study of the 3D dynamics of the gas in the entire Southern Orion cloud complex. We used the YSO's proper motions from Gaia as a proxy for the gas proper motion, together with gas radial velocities from archival CO data, to compute the space motion of the different star-forming clouds in the complex, including sub-regions in Orion A, Orion B, and two outlying cometary clouds. From the analysis of the cloud's orbits in space and time we find that they were closest about 6 Myr ago and are moving radially away from roughly the same region in space. This coherent 100-pc scale radial motion supports a scenario where the entire complex is reacting to a major feedback event that we name the Orion−6 event. This event, that we tentatively associate with the recently discovered Orion X population, shaped the distribution and kinematics of the gas we observe today, although it is unlikely to have been the sole major feedback event in the region. We argue that the dynamics of most of the YSOs carry the memory of the feedback-driven star formation history in Orion and that the majority of the young stars in this complex are a product of large-scale triggering, that can raise the star formation rate by at least an order of magnitude, as in the case of the Orion A's Head (the Integral Shape Filament). Our results imply that at the genesis of the Orion Nebula Cluster (and NGC 2023/2024 in Orion B) lies a feedback/compression/triggering process.