<p>Highly tunable and efficient photonic structures have drawn attention to quasi-periodic PhCs integrated with metamaterials. Conventional periodic photonic structures effectively control and guide electromagnetic waves, but they fall short in tunability and spectral adaptability. To overcome these limitations, we have incorporated Kolakoski-sequence-based quasi-periodic layering with photonic crystals and analyzed the bandgap combined with DNG metamaterials. This work concerns the 121 sequence (Type I/ABA) and 122 sequence (Type II/ABB) with generations 25, 35, and 50 affecting the optical properties of PhCs with respect to transmittance spectra, bandgap behavior, and polarization sensitivity. The systematic arrangement of the material layers helps one to realize optimal control over photonic bandgaps, thus opening applications for these structures. The analysis established that quasi-periodic PhCs possess unique bandgap behavior of their own, quite distinct from periodic ones. Notably, the lower frequency bandgap strongly depends on the angle of incidence, increasing with widening angles. In contrast, the higher frequency bandgap occurs at discrete frequency points linked to permittivity change. Besides, above a certain material loss factor, increasing losses greatly prevent transmission in the lower frequency band of quasi-periodic and periodic structures whilst leading to large bandgap formations. These results prove that Kolakoski sequence based quasi-periodic PhCs are strong for improving tunability, decreasing scattering loss, and attaining specific responses concerning wavelength.</p>