I assume you do not have a generator purchased yet, and you are talking to a Generac authorized dealer. The typical issues with inverters and generators are:
- does the inverter accept the generator's output for charging the battery-bank (inverter-gen or non-inverter-gen)
- does the inverter also pass-thru the generator output, while charging (gen sizing)
- how does inverter signal gen to start (usually some kind of two-wire signaling system)
The other related issues are of a power-quality nature, such as THD and/or surges, and what you might want to do about each.
The final issue is of a warranty nature, and if Generacs are involved, let's start here: Generac usually doesn't allow their whole-house gen standby backup line to be used in an off-grid environment; if you try this, they will most likely void the warranty ... they'll still sell you the unit, it just won't have an effective warranty. Generac has super-strict installation requirements, and it is best for these units to be installed by an authorized dealer, to preserve warranty. For off-grid folks, Generac has the ECO-Gen lineup, which is purpose-built for off-grid (but which has it's own problems). If your installation is somehow grid-tied, then the Generac standby unit might fit, because the Sol-Ark will accept grid power or generac power into it's grid input connection. If you are fully off-grid, then only the Generac would be fed into the Sol-Ark's grid input connection (and Sol-Ark is now happy), but this voids the Generac warranty (and Generac, the company, is now unhappy).
The question of which generator is suitable for inverter-charging can only be answered by the inverter manufacturer. If the Sol-Ark folks are saying they are good with Generacs, then you are good to use them (warranty aside), regardless of THD output. Generac doesn't really post their THD values for any given model, and rule of thumb is that they put out more than 5%, but probably less than 10% or so. If Sol-Ark is saying they can accept up to 15% THD from a generator, with all other power issues (frequency, voltage) in reasonable proximity to grid power, then you are good to go. It would be better if they list support for a generator, but not all inverter manufacturers do. The next best thing to do is to use an inverter-gen, which almost always puts out less than 5% THD (a Honda inverter-gen usually does 3% THD, and a certain Westinghouse open-frame model can put out 5%, but these have two-wire start issues, sizing issues, etc., because they are "portable" units, and not like a Generac "standby" unit).
After all of the above is sorted through, you'll want to "size" the generator for the load (what it takes to charge the battery, and what other house loads are happening while inverter is in pass-thru mode). Oversize the gen so that no more than 75% of available rated power handles your charging *and* pass-thru loads, to produce stiff power similar to the grid. My guess is that the 22kw and larger models will be what you are after, but run through the sizing exercise to be sure.
For THD issues, ignore it (IMHO), because most high-quality generators (inverter-gen at roughly 3%, or open-frame at 5 to 10%) usually put out a good enough level of THD that we can live with; everything else is marketing. You ignore THD because, even though the gen puts out a good THD level (as does the grid), every device in your house is putting THD back out on the house wiring, so you aren't really doing any good (from THD perspective). On the other hand, you can do something about surges, and surges kill more equipment than THD does anyway (every device in your house puts out micro-surges, and bigger devices and/or the grid puts out big surges). So, implement surge protection at the inverter-level (or grid level), at the load center or circuit breaker panel, and at the device level (for devices you care about).
Again, the real big issue is does your inverter officially accept the gen's output? If inverter-gen, answer is usually yes. If non-inverter-gen, answer is usually maybe. If off-grid, it is *never* a Generac standby gen, unless you choose to go "self-supporting" (and you have an authorized gen dealer on your side). It could be a Generac eco-gen, if you are brave enough to go this route. Next big issue is two-wire start support, so inverter can signal gen to start/stop (generacs are very good at this, most other gens can be supported with some surgery).
I used to run Generacs in my rural, off-grid location, and for numerous reasons, had to move away from them. I now run Westinghouse open-frame gens (with my off-grid Magnum LF 4024 inverter).
Hope this helps ...