Display thumbnails in categorie- or tag pages

Hi everybody,
in the last our, I realized, that it makes a big difference, whether I´m using the standard- or the advanced layout builder for my blog posts. With the advanced builder I have more options, but I don´t can find a option to display the related posts in the bottom, like that on the standard post builder. Is it possibile to create a similar function?

And another question. If I click on a catagorie or a tag, the posts, which was created with the standard builder are displayed full. The posts which were built with the advanced builder were displayed only with the title and a read more button. Ideally, I would have the title and a thumbnail (in a grid layout) with the read more button. Is there any way to do this in that way?

Thanks a lot
Cora