Dual source inverters (DSIs) offer efficient, single-stage conversion by integrating two energy sources, making them well-suited for electric vehicle (EV) applications. Direct connection of the sources boosts efficiency and power density; however, input voltage variations from charging/discharging cycles lead to asymmetry in the space vector modulation (SVM) plane. This asymmetry limits the performance of recently proposed enhanced modulation techniques, which rely on fixed voltage ratios. This work proposes an asymmetrical SVM strategy employing reconstructed vectors that considers varying DC input voltages, eliminating the fixed-voltage constraint. It maintains all benefits such as reduced switching frequency, improved thermal distribution, and high efficiency.