Recursively search for files by name with find.
Then, sort the result by time, newest first with ls -lt.
$ find . -type f -name "Makefile*" -exec ls -lt {} +
-rw------- 1 al al 1916 Feb 17 12:44 ./cc-python/{{cookiecutter.project_repository}}/Makefile
-rw------- 1 al al 1862 Feb 17 12:41 ./data-api/Makefile
-rw------- 1 al al 963 Feb 16 15:45 ./personal-website/Makefile
-rw------- 1 al al 254 Feb 15 17:07 ./cc-python/Makefile