I've dealt with this exact situation with older vehicles, and it's always a bit frustrating because the cause isn't always obvious. A 2022 Civic burning through oil every couple weeks is definitely worth taking seriously, even though it's not necessarily catastrophic. The fact that you're not seeing leaks or smelling it in the cabin actually rules out a few possibilities - major oil leaks or serious internal combustion issues would typically show those signs.
There are a few things that could be happening here. Sometimes newer engines with tighter tolerances can develop issues with piston rings or valve seals prematurely, especially if there's been any history of cold starts, short trips, or less-than-ideal maintenance. Civics are generally solid cars, but nothing's immune to defects. You might also be dealing with a PCV system issue - that's the positive crankcase ventilation valve - which can cause oil to burn off without obvious symptoms. Synthetic oil problems are pretty rare with Honda, but sometimes switching oil weights or using the wrong spec can make things worse.
I'd recommend getting a compression test done first; it's pretty cheap and will tell you if the rings are shot or if there's a head gasket issue. If that checks out normal, have a mechanic inspect the PCV system and spark plugs for carbon buildup. If you're topping up every two weeks on a 2022, something's definitely off and you don't want to ignore it - let it go too long and you risk actual engine damage from running low on oil.