Found this article. Quoted some excerpts:
Mexican Oreganoâ€”A Tasty Twist on an Age-Old Flavor - Brooklyn Botanic Garden
Mexican oregano couldn't be easier to cultivate. Full sun, heat, and fertile, well-drained soil are all the plant requires. Average moisture is just fine. Lippia graveolens is hardy in USDA Zones 10 and 11. Gardeners in Zone 9 might risk it outside all year, but heavy, cool, wet winter soils will be its demise.
Farther north, try Mexican oregano as a container specimen outdoors in warm weather and overwintered indoors in a greenhouse or south-facing windowsill. Indoors it will relish the same conditions as bay or rosemaryâ€”cool temperatures and fresh, circulating air. Watch for spider mites, whiteflies, and mealy bugs. Propagation is a breeze from ripe tip cuttings.
Mexican oregano has a sweetness and intensity that many gourmets prefer to the flavor of the true European or Mediterranean species.
In its native Mexico, the herb is sometimes called tÃ© de pais ("country tea"), because the dried leaves are brewed into an herbal tea. It is also employed in [salsas, pozole, adobos, and rajas.]
Now that I have an idea of basic care requirements, I'm having that urge to want to acquire it for my herb collection.....