In this research, we conducted in-depth analysis of the application of ferroelectric tunneling (FeTFET) for emerging complex neural networks. We explored the use of Neural Networks (ANN) to optimize the IOFF-state current in a dual-gate FeDGTFET tunnel transistor structure, incorporating innovative materials such as ferroelectric BaTiO3 and hafnium dioxide HfO2 as a high permittivity gate oxide. This study considered specific features of the FeDGTFET structure, including doping and permittivity, while examining the complex interactions between synapses, weights, and dendrites within this configuration. By applying the back-projection algorithm based on gradient descent principles, we aimed to minimize model error and adjust structure parameters for improved accuracy. Subsequently, we used fitting techniques to align the model with experimental data, considering the unique properties of the high permittivity oxides. Finally, utilizing a genetic algorithm (GA), we optimized the model to predict IOFF current with enhanced accuracy, assessing performance through metrics such as Mean Squared Error (RMSE) and R-squared (R²) value. The results of this study demonstrate that the GA-Optimized Neural Network model shows promising potential for predicting IOFF current in FET tunnel transistors based on BaTiO3 ferroelectrics and high permittivity oxides. The database was integrated through a communication interface between TCAD-SILVACO and Matlab.