The dataset contains supplementary materials regarding the article "Frequency combs with multiple offsets in THz-rate microresonators", published in Optics Express (OSA Journal). The materials provided include data files corresponding to the figures in the paper and labelled correspondingly. Uploading this dataset provides extra insight and precision into the paper's figures. The data is formatted as "*.fig" files and can be opened using MATLAB & Simulink software. The raw data can be extracted from the data files by following the routines presented in the "Community" section at https://uk.mathworks.com/.