Hello,
another user had the same issue the same day you did (what are the odds of that?) and reported today:

Inserting the following 2 lines in section 'allow direct access to the following files' or something similar (translated from German) - into the htaccesss-maker solved the problem:

modules/mod_latestnewsenhancedextended/stylemaster.css.php
modules/mod_latestnewsenhancedextended/animationmaster.js.php

If you don’t know the exact files to be allowed by Admin Tools, you can insert the parent path of the extension in the section 'allow direct access to the following folders (incl. .php files)'. But that’s not as secure.

Thank you Kai!

Just for other users to know and until I come up with a solution that will avoid this extra work with my components.