Create an administation subpage containing posts in a certain category

See my answer here on a similar question https://wordpress.stackexchange.com/posts/comments/401940?noredirect=1 that discusses a plugin I did that might start to meet your needs.

The plugin is called Multisite Post Reader, and can be found here: https://wordpress.stackexchange.com/posts/comments/401940?noredirect=1

Comments about additional features can be posted in the plugin support page.

If the plugin is not exactly what you need, you can always dig into the plugin code and tweak it for your needs. That’s how I built the plugin – using techniques found in various locations here and on the googles.

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