The markup comments are wrong about "opposite end from main breaker". And I believe on the #2 wire size--it has a 75C ampacity of 115A, so if the calculated "load" does not exceed 115A, it can be protected by a 125A breaker (next size up rule). (2) 10 kW inverters would be 83A continuous @ 240V, and after 125%, that's 104A < 115A. So I believe that's OK.
However, he's not wrong on the 70A comment given the arrangement you've drawn and the current NEC rules. They are unnecessarily strict for the case of two breakers/connections (other than the main) in a panel, and I submitted a PI that would have the effect of loosening them.
So under the current rules, you have to use the "connection to a feeder" allowance to do what you want. Your main panel has a 200A main breaker, and either feed through lugs or a 200A branch breaker to supply a 200A feeder. You then splice that 200A feeder (possibly within the main panel, or a separate enclosure) into two feeder segments--one going to your new load panel, which needs a 200A main breaker, and one going to your generation panel (or a disconnect first, if local regulations require a separate disconnect).
I believe the feeder segment to the generation panel (or disconnect) could be #1 Cu conductors landing on a 125A main breaker in that panel, if you can comply with the 25' tap rules. My recollection is that for taps, you can't use the next size up rule. If using a separate disconnect with OCPD, then from the disconnect to the generation panel could certainly be #2 Cu.
Cheers, Wayne