Experiments conducted on two-dimensional twisted materials, involving both twist angle and strain, have consistently shown the presence of a diverse array of moiré patterns with distinct forms and shapes. Especially striking is the appearance of 1D structures under some certain but opaque conditions. In our studies we undertake a systematic investigation of the lattice structure in these systems, taking into account the combined effects of twist and strain. Particularly for moiré systems composed of honeycomb lattices we identified the conditions governing the emergence of such 1D channels and formulate the required criteria for lattice periodicity restoration. By carefully manipulating the strain direction, we have identified a family of engineered moiré systems. These results provide deeper insights into the interplay between twist angle, strain, and lattice structure in two-dimensional layered materials.