Abstract: Terahertz （THz） radiation, with its non-ionizing property, strong penetrating power and rich fingerprint spectral information, has significant application value in fields such as imaging detection, broadband communication and material regulation. In recent years, vortex terahertz beams carrying orbital angular momentum have received extensive attention in structured light field research due to their central dark nucleus, annular intensity distribution and helical phase structure. Strong laser field-driven gas plasma is an effective way to generate broadband terahertz. When the driving laser uses a vortex beam, its angular phase information can be transferred to the terahertz radiation field through ionization and transient photocurrent processes. Based on the photocurrent model, this paper studies the law of THz radiation generated by the interaction between the bicolor Laguerre-Gaussian vortex field and gas plasma. The results show that the THz radiation mode is jointly determined by parameters such as the frequency ratio of the driving laser and the topological charge number. By rationally selecting these parameters, effective control of terahertz hollow Gaussian beams and terahertz vortex beams can be achieved. This study provides a theoretical basis for the controllable generation of structured THz radiation.