Where are the two auxiliary panels mounted? They may be considered structures. If the sheds are fed by more than one branch circuit then the need a grounding electrode per 250.32(A). The electrodes are only connected to the EGCs and not the neutral. 250.32(B)
I don't understand your comment about the sheds not being feeder conductors.
The OP describes the shed wires as being connected in the wireway next to the meter, and presumably upstream of the existing disconnects.
That would make the shed wiring service conductors, which would be run as three wire, w/o EGC, and they would therefore require their own GES and ground/neutral bond in some sort of panel at each shed.
There may be an issue with grouping of service disconnects, and the shed panels certainly need to be service rated.
The conductor size to the sheds could be less than the ampacity corresponding to the POCO service amperage as long as the unprotected conductors are not run inside the building(s)
and the shed main breakers protects them
and they can carry the calculated shed loads.
Since the conductors are unprotected service wires, the grounding at the meter next to the wireway does not do any good for them.
I suppose that if the OP runs a GEC (not an EGC?) along with the circuit wires he could then bond that to the main building GES, but there would still, IMHO, need to be a local GES at each structure, especially since this is a service.
If the OP puts the OCPD at the wireway end, then they become feeders and everything changes. But still requires a ground at each structure (depending on code cycle.)