This research article explores advancements in efficient Terahertz (THz) generation techniques for various applications in spectroscopic studies. The study focuses on generating THz radiation using Sinh-Gaussian laser pulses, which have a unique profile that can enhance energy efficiency in THz synthesis. The research investigates the effect of the decentred parameter and collisional frequency on THz efficiency. It is found that increasing the decentred parameter or decreasing the collisional frequency can enhance the energy efficiency of generated THz waves. The unique attributes of the Sinh-Gaussian pulse shape offer new opportunities for optimizing THz sources, thus advancing ultrafast optics and THz technology. The study examines the interaction between lasers and plasmas, which is crucial for THz generation. The research highlights the potential of THz radiation in various applications such as spectroscopy, imaging, and communication. It also discusses the use of THz spectroscopy in detecting skin cancer, imaging dental structures, airport security, wireless communication, and quality control in the food industry. The study presents analytical solutions for the generated THz waves and derives formulas for the electric and magnetic fields of the laser pulses. The nonlinear ponderomotive force generated by the interaction of two laser pulses is analyzed, and the resulting nonlinear current density in the plasma is calculated. The study concludes that optimizing laser and plasma parameters can enhance THz generation efficiency, contributing to the development of more efficient THz sources.This research article explores advancements in efficient Terahertz (THz) generation techniques for various applications in spectroscopic studies. The study focuses on generating THz radiation using Sinh-Gaussian laser pulses, which have a unique profile that can enhance energy efficiency in THz synthesis. The research investigates the effect of the decentred parameter and collisional frequency on THz efficiency. It is found that increasing the decentred parameter or decreasing the collisional frequency can enhance the energy efficiency of generated THz waves. The unique attributes of the Sinh-Gaussian pulse shape offer new opportunities for optimizing THz sources, thus advancing ultrafast optics and THz technology. The study examines the interaction between lasers and plasmas, which is crucial for THz generation. The research highlights the potential of THz radiation in various applications such as spectroscopy, imaging, and communication. It also discusses the use of THz spectroscopy in detecting skin cancer, imaging dental structures, airport security, wireless communication, and quality control in the food industry. The study presents analytical solutions for the generated THz waves and derives formulas for the electric and magnetic fields of the laser pulses. The nonlinear ponderomotive force generated by the interaction of two laser pulses is analyzed, and the resulting nonlinear current density in the plasma is calculated. The study concludes that optimizing laser and plasma parameters can enhance THz generation efficiency, contributing to the development of more efficient THz sources.