MESA input and output files associated with the published journal article Wagle et al. (2020; doi:10.3847/1538-4357/ab8bd5). We used MESA version r-10398 and MESA SDK version 20180822 to run these models. The "MESA_inputs.tar.gz" file contains work directories for initial mass of 13 solar mass and several overshoot parameter (f) values as listed in Table 2 of the published article. The models can be run directly from each working directory ("f_*") by making (./mk) and then running MESA (./rn), after instantiating MESA SDK. The run-script ("rn") is modified to start a MESA run from the pre-main-sequence (preMS) stage through core-collapse (CC) stage, if the LOGS and photos directories are absent. Otherwise, it restarts MESA from the latest "photo" binary file saved in the photos directory (that is, it assumes that the previous run was interrupted and restarts the run. So, to start a fresh run delete the "LOGS" and "photos" directories.) Each working directory has "run_star_extras.f" file which is modified to save the compactness parameters, mu_4, M_4 as extra history columns, as well as, to implement additional temporal resolution constraints as explained in section 2.2 of the article. Any other combination of mass and f-value from Table 2 of the article can be run by changing initial_mass in "inlist_control" file, and overshoot values in "inlist_f*" file. Each "*M_z0.006_f_*.tar.xz" file has a "LOGS" directory that contains corresponding "history.data", "profile.data" at core-collapse (CC) stage and saved model ("*.mod") at CC stage for each mass and f-value combination from Table 2 of the paper. (Note: Please copy the tar.xz files for each mass in a separate folder before decompressing them, in order to avoid overwriting the folders with the same f-values.) The LOGS directory also contains a folder "png_plots" that has saved ".png" files generated by "inlist_pgstar". These files can be used to generate stellar evolution movies using the "images_to_movie.sh" script available in the MESA SDK.