This study implements the Evaluation by an Area-based Method of Ranking (EAMR) approach for dealing with the Multi-Objective Optimization Problem (MOOP) of a two-stage helical gearbox with double gears in the second stage. The goal is to identify the key design features that are most efficient in optimizing gear-box performance while minimizing the gearbox’s footprint. Three crucial design elements were selected for this purpose: the gear ratio of the first stage and the coefficients of wheel face width for both the first and second stages. In addition, the EAMR strategy was employed to address the Multi-Criteria Decision Making (MCDM) problem, and the MEREC approach was used to identify the weight criterion for solving the MOOP. The research findings allow the building of a two-stage helical gearbox with dual gears in the second stage by determining the optimal values for three key design parameters.