We have investigated the generation of terahertz radiation due to the beating of two Hermite Cosh Gaussian (HchG) laser pulses in the presence of frequency chirp in a plasma. These two HchG lasers have electric fields \(\vec{E}_{1}\) and \(\vec{E}_{2}\) co-propagating along the z-axis with frequencies \(\omega_{1}\) and \(\omega_{2}\) with their propagation constants \(k_{1}\) and \(k_{2}\) , and polarized along the y-direction. Plasma electrons are subjected to nonlinear ponderomotive force due to lasers beating in plasma. Because of this, plasma electrons acquire an oscillatory velocity in the presence of frequency chirp, producing a great transient transverse nonlinear current. This nonlinear current is responsible for the production of generation of terahertz radiation with higher efficiency. The results reveal that the THz field profile heavily depends on laser parameters like the chirp parameter \(b\) , decentred parameter \(d\) , and mode index \(m\) of Hermite function and an amplitude of ∼0.8 has been attained with an optimized set of laser and plasma parameters. This study aims to revolutionize Terahertz (THz) radiation generation by utilizing plasma’s robustness as a nonlinear medium, surpassing the limitations of conventional methods. Utilizing two Hermite Cosh Gaussian (HchG) lasers with frequency chirp, we explore enhanced efficiency in THz output by optimizing laser-plasma interactions. The focus is on understanding the nonlinear ponderomotive force on plasma electrons, elucidating how chirped lasers amplify THz radiation. Through rigorous numerical analysis, this research provides crucial insights for developing advanced THz technologies with superior performance and applicability in diverse fields such as imaging and spectroscopy.