That diagram works if the Backup Loads panel has a 225A bus rating, which I don't see specified. Then its bus qualifies under the 120% rule: 175 + 125% * 32 + 125% * 32 < 120% * 225.
The 100A (could be 80A) breaker is required in either Backup Loads panel or the Combiner Panel, but not both. However, if it's in the combiner panel only, then the feeder from the Backup Loads panel to the Combiner Panel has to comply with the tap rules, which I'm not sure is possible with the production meter in there. So better/easier to put it in the Backup Loads panel, or both.
Cheers, Wayne