Anderson localization, the phenomenon of wave function localization, has been extensively studied in Hermitian systems. However, the exploration of localization in non-Hermitian quasiperiodic systems remains relatively unexplored. In this study, we investigate the delocalization-localization (DL) transition in a generalized non-Hermitian lattice with asymmetric hopping and complex quasi-periodic potentials. Through analytical calculations and numerical simulations, we accurately predict and map the phase diagrams for different parameters. Furthermore, we explore the interplay between spin-orbit coupling (SOC) and non-Hermitian effects, shedding light on the potential emergence of novel physical phenomena. Our findings not only deepen our understanding of non-Hermitian quasiperiodic systems but also bridge the gap in understanding between non-Hermitian systems and SOC, providing valuable insights into fundamental principles. Moreover, exploring the interplay between SOC and non-Hermitian systems could pave the way for advanced spintronic devices with unprecedented features, revolutionizing the field of spintronics.