Disable Continuity with iMessages.app
If you want to disable iMessage to be synced with your iPhone:


On iPhone --> Settings > Messages > Text Message Forwarding > Remove your MBP device that should appear.
On MBP --> No account setups is ok (double check if your iCloud account has already been disabled).


Finally, you can definitively get rid of Handoff by unchecking "Handoff" in iPhone > Settings > General > Handoff &amp; Suggested Apps.