Advanced methods for Enhanced Oil Recovery (EOR) have been suggested to improve oil production from carbonate reservoirs. This study explores the application of advanced EOR methods, particularly the potential of flue gas and CO2 in Water Alternating Gas (WAG) injection within a homogeneous fractured carbonate reservoir with low porosity and permeability. The research leverages simulations conducted using Eclipse (E300) software to evaluate the effectiveness of this approach and optimize the Hybrid EOR method. The findings from the simulations underscore the necessity of EOR methods to enhance oil recovery, with natural production accounting for only 28% of the total. The study considers various types of flue gases generated from steel, cement, and power plants, to assess their impact on oil recovery. The results reveal that optimizing the Hybrid EOR method led to the highest oil recovery factor, reaching approximately 78%. Additionally, the utilization of CO2 injection exhibited a more favorable outcome in the recovery of oil in comparison with flue gas injection. This underscores the endorsement of the hybrid flue gas-WAG method due to its substantial enhancement in the recovery factor. Moreover, the study delved into the influence of water salinity on performance, with CO2-HSWAG outperforming CO2-LSWAG, indicating a positive response to increased water salinity. In contrast, the assessment of the effects of flue gases showed a detrimental impact on oil recovery. The research underscored the positive influence of surpassing gas injection patterns in CO2-LSWAG, as well as the sensitivity of flue gas compositions on the oil recovery factor. Overall, the study demonstrates the varied impacts of flue gases in Hybrid EOR, highlighting the diverse potential of these gases on oil recovery.