In this work, we study the effect of a non-linear power amplifier (NLPA) on the performance of simultaneous wireless information and power transfer (SWIPT) enabled two-way relay network with transceiver hardware impairments (HIs). We employ a hybrid receiver at the relay to process information and harvest energy through the radio-frequency signal. we derive the closed-form expressions of outage probability and asymptotic outage probability by using a selection combining technique at the destination node over Nakagami-m fading channels. The diversity order of the system is determined by using the asymptotic outage probability. We also investigate the throughput and energy efficiency of the system. Further, the impact of NLPA, transceiver HIs, fading severity, hybrid receiver, threshold data-rate, and overall system ceiling are highlighted on the network’s performance. Finally, the derived closed-form expressions are verified through Monte Carlo simulations.