<p>This study presents an approach to generate terahertz radiation using two Hermite- Cosh- Gaussian lasers co-propagating along the z-axis and polarizing along the y-axis. The interaction of these lasers with plasma in the presence of a static magnetic field along the x-axis and oscillating at the cyclotron frequency induces a ponderomotive force. This force, in turn, produces nonlinear velocity and current density within the plasma. It is demonstrated that this nonlinear current density acts as a source for THz radiation. The feasibility of the magnetic field parameters is discussed in light of practical experimental conditions The main aim of this study is to analyze the relationship between THz conversion efficiency, normalized transverse distance, cyclotron frequency plasma frequency, and laser parameters like Hermite polynomial mode index (m), decentered parameter, etc. Key findings reveal that the terahertz signal amplitude diminishes rapidly under off-resonant conditions and approaches zero as the normalized THz frequency exceeds 5. The results highlight the potential of optimizing the decentered parameter and Hermite polynomial mode index to develop energy-efficient, powerful, and customizable THz radiation sources. By bridging theoretical insights with experimental relevance, this work contributes meaningfully to advancing THz science and technology.</p>