On my home network I wanted to set up a Remote Desktop connection to a Windows 10 machine from a Windows 8.1 machine, by using the credentials of a Microsoft account. Both machines were using the same Microsoft account to login.
Turns out I had 2 problems, first on the Windows 10 machine I had not turned on sharing.
When I went to Control Panel\Homegroup, on the right of the screen a text appeared to enabled sharing, when I clicked OK, I could connect with Remote Desktop to the machine, but then I had to enter credentials.
Assuming my email address, used to login with my a Microsoft Account is: email@example.com then you should enter the username as: MicrosoftAccount\firstname.lastname@example.org
Yes you really have to put the text “MicrosoftAccount” in front of the email address.