This paper explores the vulnerability of two-area Automatic Generation Control (AGC) systems in smart grids to False Data Injection (FDI) attacks. The AGC system is modelled using state space equations, and its stability and performance are scrutinized under typical load variations. Utilizing MATLAB Simulink, various FDI attacks are introduced to assess their characteristics and potential consequences. The study emphasizes the critical significance of understanding diverse FDI attacks within the context of two-area AGC networks, underscoring their potential to induce malfunctions and blackouts. The findings highlight the need for heightened awareness of cybersecurity risks in AGC systems and emphasize the importance of fortifying these systems against potential threats to ensure the continued resilience and reliability of smart grids.