Lenovo had caused some confusion by saying that Motorola would be known as Moto, but Motorola CEO Rick Osterloh and Senior VP of Marketing and Communications Adrienne Hayes clarified the plans in a talk at MWC this week. Osterloh said that the Motorola company would not be disappearing and devices would be made the same as always, it's just a matter of branding. Hayes added:
It seems that Lenovo wants to start putting its name on the devices while continuing the Moto brand. It's unclear exactly how that would work, but the options would either be to see a "Lenovo Moto X" or a "Moto X by Lenovo" rather than the Motorola name. The two also mentioned that there are discussions about how the DROID brand on Verizon might evolve.
The two also confirmed that despite potential overlap in the market between low-end devices like the Lenovo Vibe and the Moto E or G, the Moto devices would live on.
source: Android Central