Edit of re146 userscript that also applies the changes to the search page. Only works on tampermonkey to my knowledge as it uses window.onurlchange.
Factorio Free Mods Downloader for the search page
An edit of re146's userscript that makes it work on the search page. You still need the original for the actual mod pages.
It modifies the green download buttons to redirect to re146's page. While it probably will work on other script extensions, it's only fully compatible with Tampermonkey as it relies on window.onurlchange. The changes will be applied only to the first page, and you'll have to reload the tab for it to be applied to other pages as you browse the mods.
