Depends on how the 2 rods are connected. As I mentioned earlier, #6 is good when it is a sole connection to the rod. If the conductor connects both rods, then it must be sized per Table 250.66, at least for the portion to the first rod.
Not true.
250.64
(F) Installation to Electrode(s). Grounding electrode conductor(s) and bonding jumpers interconnecting grounding
electrodes shall be installed in accordance with (1), (2), or (3).
The grounding electrode conductor shall be sized for
the largest grounding electrode conductor required among all the electrodes connected to it.
250.66
(A) Connections to Rod, Pipe, or Plate Electrodes.
Where the grounding electrode conductor is connected to rod, pipe, or plate electrodes as permitted in 250.52(A)(5)
or (A)(7), that portion of the conductor that is the sole connection to the grounding electrode shall not be required to be larger than
6 AWG copper wire or 4 AWG aluminum wire
250.53
(E) Supplemental Electrode Bonding Connection Size.
Where the supplemental electrode is a rod, pipe, or plate electrode, that portion of the
bonding jumper that is the sole
connection to the supplemental grounding electrode shall not be required to be larger than
6 AWG copper wire or 4
AWG aluminum wire.
You have a sole conductor going to the first rod. THEN you have a sole conductor (bonding jumper) going to a supplemental rod.
You have ONE GEC and ONE Bonding Jumper.