Continuously Variable Transmission Idea

[rajava007]

I made a CVT (Continuously Variable Transmission) that uses two differentials to first split power between two gear ratios based on torque (1:1 and 2:1), and then recombine the separate rotations into a single output via a second differential. Yes, I did test this out, and it works. However, My Question Is: Why hasn't this cvt(the one that I just made) been implemented before? Yes, a reverse gear isn't implemented, and the completely automatic nature of it doesn't allow you to control it if needed, but why haven't vehicles like bikes used this before?
DISCLAIMER: The model below isn't fully proper; a 1:2 ratio isn't possible between the differentials, and is only possible by multiplying the output of the transmission by two.
Below is a power diagram:

And now this is the diagram of the CVT I made without edits ontop:

 

[Baluncore]

Welcome to PF.

Can you please name the input, control and output shafts.