Who I have the same questioned this topic

Messages+ desktop app is great for mirroring messages composed on my correspondents' smartphones and on my smartphone, and also for composing and sending messages to others' smartphones.  But the messages I send using the Messages+ desktop app apparently are not sent to my own smartphone for display in the native-Android Messages app.  They don't show up.  (I have a Samsung Galaxy S3 16GB, Kit-Kat 4.4.2.)

I understand that installing Verizon Messages would fix this, but that would require me substituting Verizon Messages for my native-Android Messages app, which I do not want to do.

Is Messages+ capable of mirroring my desktop-sent messages to my own smartphone?  If so, how do I enable it to do so?  Thank you.