OK, the Banners Titles and Banners Texts indeed appear (with the specified “Fontcolor on the teaser”) on the front page, but that's not the case for some of the elements specified on the banners pages (e.g. on .../banners/one/edit#autotoc-item-autotoc-4):
the images specified don't appear (and the “Banner Image” fields are empty), neither on the banners pages nor on the front page,
the “Background color” appears on the Banner page, but not on the front page.
Did you enable the slider behavior on your content and select the banners that it will display?
It's been a while since I used that package, I remember that it was working for me. Since I needed some additional features, I ended up extending it, as can be seen here: http://www.pnz.de Both the main slider and the carousel in the mega menu are using this package.
the images are visible,
the images are not visible, at least not with all browsers. For instance, they are visible with Chromium 105.0.5195.102 (that I almost never use), they are not visible with Firefox 105.0.1 (64 bits), even after a clear cache.
Sorry to not have check earlier with other browsers but I never imagined that this could happen...