More to the point of the OP situ...
If it's a "normal" standby gas powered generator, it uses a normal magneto-inductive generator (alternator, to be exact) - which is just a small version of what power companies use... right?
There's nothing to "burn up", and as long as the grid-tie inverters are pushing slightly more AC voltage back "towards" the generator/alternator (and it will certainly be in-phase), it should do nothing but reduce the apparent load presented to the gas powered generator. It should see a "no load" condition, throttle back enough to maintain 60Hz output, and never know any difference.
However... some high-end standby generators are now utilizing variable speed, high efficiency alternators, which send their power through an electronic pure-sine-wave off-grid inverter - inside the standby generator itself. This allows them to perform SERIOUS throttle control, ignoring the gas engine RPM completely... such that it can essentially idle down, while still generating 60Hz "local grid" power - when the Mains-grid is offline.
These are an "unknown", because they are inverter-based... but it'd be cool to know the DC input voltage to the onboard inverter..... with a little work, it might be fairly simple to add Solar input to supplement the gas-powered generator.
Look up the Generac SYNERGY series.... and ECOGEN series of Alternative Energy compatible generators.
Youtube watch?v=q7doYZbqwmA
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