I use a combinations of Wallabag and Linkding to manage saved articles and bookmarks. Wallabag has a few rough edges, but does the job for later reading. On mobile, I use a 3P app like Fiery Feeds to provide a better UX that still interfaces with my Wallabag instance.
I've been using Wallabag for a while and hit a bunch of those rough edges with the Android app. I didn't even know it had RSS support to open up app options- thank you!
It's hard to self-host right now, but Omnivore is a really, REALLY good project. I've actually retired my wallabag instance in favor of eventually moving to Omnivore (currently using the hosted version of Omnivore in the interim). And they are working on the self-hosting thing.
Plus side: the Omnivore iOS app (cannot speak to Android) has one of the best share sheets I've used, though right now it and the browser plugin don't seem to be able to speak to self-hosted instances, though I haven't tried that lately.
Depending on your use-case, something like floccus might be enough as a replacement. It saves and syncs bookmarks across devices and can use WebDAV, NC-Bookmarks, or GDrive as backend. You can use browser plugins to sync the bookmark toolbars of all your browsers and the mobile app to have access on other devices.