  The existence-uniqueness theory for solutions to stochastic dynamic systems
is always a significant theme and has received a huge attention. The objective
of this article is to study the mentioned theory for stochastic functional
differential equations (SFDEs) driven by G-L\'evy process. The
existence-uniqueness theorem for solutions to SFDEs driven by G-L\'evy process
has been determined. The error estimation between the exact solution and Picard
approximate solutions has been shown. In addition, the exponential estimate has
been derived.
