Simply connecting the green power ground to the appropriate terminal at the sign, outline lighting, or skeleton lighting isn’t sufficient. In addition, you must ensure all the metal equipment of these systems are bonded to the equipment grounding conductor (EGC). So, if you have a metal junction box, bond it to an EGC.
Use an EGC that is one of the types specified in Sec. 250.118 of the 2017 National Electrical Code (NEC). Size your EGC per Sec. 250.122 after determining the rating of the overcurrent device protecting the circuit conductors supplying the system in question.
Make the EGC connection per Sec. 250.130, using a method specified in Sec. 250.8. For example, don’t rely on a raceway locknut connection to the junction box for your effective path. If in doubt, take an extra few minutes to run a bonding jumper.
If your installation specification calls for a grounding electrode, remember it’s only an auxiliary grounding point. Your EGC must run back to the power supply because you need a low impedance path for electricity to get back to its source.