The advancement of 3D printing technology has made it possible to create complex structures with unique shapes, such as kirigami-based designs inspired by the art of cutting paper to create three-dimensional structures. These structures provide significant benefits, including lightweight construction, quick deployability, and the ability to carry mechanical loads and absorb deformation energy. However, there is limited research on how these structures and their critical connections perform when manufactured with composite materials using 3D printing techniques. This study examines the mechanical properties of 3D-printed kirigami structures and their connections, focusing on improving their connection behavior and optimizing material usage. The Space Mapping framework is employed to address the inherent anisotropy of 3D-printed composites, transforming the material's complex directional behavior into an equivalent isotropic domain. This approach enables the application of established isotropic nonlinear models, enhancing simulation accuracy while reducing computational cost. Finite element simulations are used to model the behavior of kirigami structures, with a focus on material properties, interlayer bonding, print direction, and fiber orientation in the composite material. Mechanical tests are implemented to validate the simulations, focusing on the stiffness and strength of folds and connections under different loading conditions. By refining folding mechanisms and optimizing material distribution in critical areas, this research aims to demonstrate how kirigami structures compare against traditional solid designs in applications requiring both strength and adaptability. These findings are particularly relevant for applications where lightweight and flexible designs are essential, such as aerospace, automotive, maritime transport, and civil engineering. By combining numerical analysis with experimental validation, the research provides valuable insights into optimizing the folding and connection points of 3D-printed kirigami structures for advanced engineering applications.