Facebook show you're online via your mobile phone, even if you logout from Facebook


Solution

1) Login to your facebook account click on Account

    >Privacy Preferences
    >Apps and Websites
    >Click on Edit Your Settings
    >Click Remove unwanted or spammy apps
    >Remove the ebuddy if it exisit using (x) sign, next to Edit
    >Remove all unwanted/non using application (x) sign, next to Edit
    >Logout/Login Your Facebook

2) On your Phone

    >Make sure you ended all chat sessions (both online and on my phone)
    >Logged out of all chat clients
    >Clear cached pages & cookies from Your Phone also In Computer
    >Uninstall ebuddy from my phone*
    >Restart Your Phone

All The Best...