The reverse logistic of Healthcare Textile has become nowadays a major concern in Morocco. Consequently, it imposes to authorities and professionals the obligation to perform a sustainable reverse logistic model. Through this study, we are going to hybridize game theory and ridesharing to optimize a multi-objective reverse logistics of healthcare textiles. We opted for the Genetic algorithm to face the complexity of the ridesharing model. For cost allocation, the allocation based on volume give best results compared to Alternative Cost Avoided Method. Besides, it allows a higher gain for players with the most important activity.