On mobile, when I hit the docs link, the actual content falls below the fold. The search bar and ToC take up the whole screen. Recommend you collapse the ToC to a menu button and shrink the search bar.
You might expand on your examples to demonstrate persistence. You mention that the cookie cutter template has “many modules are missing, such as models and database connections.” I think this is a meaningful gap to fill.
The initial button example might be a good one to build on. You could show how to persist the counter value in SQLite.
It would be nice to have a “next page” button at the bottom of the documentation pages, so you can read straight through without popping back up to the ToC.