Mesh filter materials are widely used in the filtration of gases and liquids solid inclusions, exhibiting numerous advantages, including high strength, permeability, and heat resistance, as well as the capacity for multiple regeneration. However, a notable disadvantage is their limited dirt capacity, which consequently results in a reduced service life prior to regeneration. Simultaneously, the regeneration process is challenging. It is not feasible to entirely eliminate all the dirt particles that have become embedded within the cells. Additionally, the cells themselves are susceptible to deformation. The filtering material with orthotropic structure on the basis of woven meshes (FMWM), consisting of woven meshes package, is devoid of these disadvantages. The FMWM demonstrates superior dirt capacity due to its operation in depth filter mode. Furthermore, the channels where the pollutant particles are retained can be completely cleaned during the regeneration process with the filter disassembly. In summary, FMWM possesses a practically infinite operational lifespan. The most preferred method for recycling FMWM is by reusing material resources, a practice that eliminates environmental problems during processing. The rational design of FMWM products is based on establishing a relationship between structural parameters and material properties. In the presented work, the problem of forecasting and FMWM performance properties optimization on the basis of mathematical models of the structural parameters’ relationship with technological characteristics and properties at limited variation possibilities by controlling factors is solved.