We back feed as well, pluging the generator into the welder outlet in the garage. So instead the house powering the garage, its the other way around. And the gen is in the livestock trailer, which muffles it some, and is a dry place to refuel, etc.
I do the same thing except the generator (inverter type)
puts out 120. A 3 kw transformer bumps it to 240.
Runs everything except the water heater. A pot of water on the wood stove is good for sponge baths. I’ve been known to take a sailor shower after a while.
It’s easy, inexpensive, mostly DIY and does the job until the electricity comes back