For newer models, you may not need a "tool" at all. Motorola has integrated unlocking capabilities directly into the Android system for certain carriers.
Known for high success rates with Motorola Moto G, E, and Edge series. motorola network unlock tool link
: Websites claiming to generate codes instantly for free after you complete a survey are fraudulent. Official Motorola unlock codes are tied to secure manufacturer databases and cannot be guessed by a basic web script. For newer models, you may not need a "tool" at all
Absolutely not. Rooting gives admin privileges to the OS. Network unlocking allows foreign SIM cards. One does not lead to the other. For newer models