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This work comprehensively investigates the complex dynamics and benefits that emerge from the incorporation of technologies, such as energy harvesting (EH), finite blocklength (FBL), non-orthogonal multiple access (NOMA), and unmanned aerial vehicles (UAVs) within the framework of a cellular network. To analyse such a network system, we use stochastic geometry (SG) where base stations (BSs), UAVs, and terrestrial devices are distributed as Poisson point processes (PPPs) across a large geographical area. A NOMA transmission scheme is employed, with UAVs acting as EH relays, to enable communication between edge users and BSs in situations where direct line of sight (LoS) is not possible. Moreover, we investigate the proposed system under finite blocklength, where a precise characterization of the distance distribution of randomly paired NOMA users for a given UAV is provided. The performance …