This is in Logos 6.7 beta 3 on Windows 8.1
The screenshot below shows some of my current reading plans

I deleted the "Test RP" one on my iPad yesterday but it still shows on my desktop homepage. It is also showing absent from documents.logos.com suggesting the issue is a desktop one

Refreshing the home page (F5) removes the entry from the panel. Should this be done more automatically than this?