This study introduces an advanced mechanized approach to improve transverse trenching efficiency for 1 document Salix psammophila sand barrier applications in desert environments. By developing a layered discrete element model incorporating spherical, elongated, and prismatic particles, the research accurately captures the complex behavior of sandy soil under varying moisture and cohesion conditions. Using a Box–Behnken experimental design, optimal structural parameters—specifically a soil-cutting angle of 30° and a helix angle of 20.37°—were identified to enhance soil interaction and conveying performance. Further system-level optimization determined ideal operational conditions, significantly improving trenching depth, soil compactness, and insertion stability while reducing torque requirements. The findings establish a novel interaction mechanism between auger geometry and sandy soil dynamics, offering scalable, efficient solutions for mechanized desertification control.