According to Reddit user /u/AndroidLeaks, Motorola has been testing three handsets on the Verizon network. All of which are QHD, 2560×1440, and have all been tested in the Chicago area. Which isn't a surprise considering Motorola's headquarters are in Chicago.
Other than the display resolution and the network, nothing else is known, aside from their model numbers. We have the XT1578, XT1585, and XT192A. The second generation Moto X was the XT1095, so the model numbers don't really help us out too much.
Recommended Link: Cyanogen Integrates Truecaller In OS, Brings Caller ID To Smartphones
The Reddit user claims that the three upcoming Motorola smartphones bear the model numbers XT1578, XT1585, and XT192A. Allegedly, all three handsets will come with displays that run a resolution of 1440 by 2560 (QHD). The source of this information also claims that all of these three upcoming Motorola smartphones currently run Android 5.1 Lollipop, and that all three of them are Verizon-bound handsets.
Unfortunately, although the Reddit post also contains information regarding the PPI densities of these smartphones, it looks like the data provided is actually the DPI number for scaling applications, and not useful data that we could use to calculate the screen size of the displays.
As Motorola typically announces the Moto X around September, when IFA takes place. So that would be when I'd expect to see both the Moto X (2015) and the new DROID smartphone announced.
Recommended Link: Top 10 Best Smartphones Available In The Market Now
Some of the leaked specs for the Moto X (2015) has shown us that the device is going to have a QHD display, as well as Qualcomm's Snapdragon 808 processor and even 4GB of RAM. A more recent leak that came out this week shows that we have a 16MP camera with OIS on the back this time around.