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It is known that acceleration regimes have a decisive influence on fuel consumption and pollutant emissions. In this sense, the paper highlights the weight with which these regimes contribute to determining the level of fuel consumption and polluting emissions. In the first phase, all acceleration regimes specific to the current WLTC test cycle are selected. Using mathematical modeling with the AMESim platform, the cumulative (CO2 emissions over the cycle) fuel consumption and pollutant emissions of HC, CO, NOx, PM are determined. For comparison, the same magnitudes for the selected acceleration modes are then determined. This highlights the fact that transient acceleration regimes severely affect both fuel consumption and global emissions by determining the magnitude of these influences. This draws attention to the fact that the acceleration regimes specific to the current test cycle still require far-reaching investigations to optimize the powertrain performance for a vehicle equipped with a Diesel Hybrid powertrain.