<p>The field of engineering optimization often faces significant challenges in efficiently exploring complex solution spaces to identify optimal configurations, frequently struggling with local optima and premature convergence. These issues are especially pronounced in traditional optimization algorithms when applied to high-dimensional or intricate engineering problems. This paper introduces the LEVYEFO-WTMTOA algorithm, an innovative hybrid that combines the modified multi-tracker optimization algorithm (MTOA) with the electromagnetic field optimization (EFO) approach. This integration effectively addresses the limitations of previous methods, such as stagnation in local optima and suboptimal search strategies. The evaluations using the CEC2018 benchmark suite demonstrate that the LEVYEFO-WTMTOA algorithm significantly outperforms existing algorithms, reducing the mean error by an average of 20%. Specifically, the presented algorithm achieved a maximum cost improvement of 31.03% in spring design and 32.15% in welded beam design. These results confirm the LEVYEFO-WTMTOA’s superior capability in handling complex optimization tasks, offering a powerful tool for algorithmic design in engineering applications and setting a new benchmark for performance in the field.</p>