In this paper, we aim to construct a novel supercontinuum structure using a hybrid rib-inverse rib configuration that features a silicon-germanium (SiGe) core and silicon carbide (SiC) cladding on both sides. The generated supercontinuum dispersion profile was significantly improved with dispersion engineering of the geometrical parameters of the structure. By varying pump wavelength and input power at different levels, two discrete output supercontinuum spectra were achieved, from 1.62 to 6.01 micrometers (1.6 octaves) and 11.54 to 13.02 micrometers (0.5 octaves) with a pump wavelength of 2.8 micrometers. This indicates that we produced power in the mid-infrared (midIR) and near-infrared (near-IR) spectrums. Consequently, our supercontinuum structure can be applied simultaneously in both the near-IR and mid-IR domains at a time.