Yes match the garage door cedar to the rest of the home, in my opinion.

If you happen to have any samples of the finish on the house, you can send that cedar sample along with a couple of short unfinished cedar planks to manufacturers such as WoodRX in Ft Meyer's, FL. They will make every attempt to match.

Residential garage door manufacturer Clopay makes modern wood garage doors in cedar. Custom and standard designs are available. https://www.clopaydoor.com/reserve-modern-contemporary-garage-doors Professional dealers are located throughout the US and Canada. https://www.clopaydoor.com/where-to-buy

Check with some local garage door contractors and see what other options might be available too. Ask your general contractor who does good garage door work. A lot of those guys know each other or at least know who's good.

Finding a company that does custom staining for your garage door is a great option!

The suggestion above to have the finish sample of your home is perfect. Present that, to the garage door company and some will be able to custom stain to get that natural and perfect shade of wood texture.