"Caucasoid" is a 19th century racial category along with Australoid, Mongoloid etc. They were debunked decades ago by DNA which shows there are no biological races in humans. The concept of race is entirely sociological, not biological.
An extension of "Caucasoid" is "Caucasian" which, as a racial name, has also been debunked. Caucasians are the people of the Caucasus, the area between the Black Sea and the Caspian Sea. The Caucasus comprises part of southern Russia (in Europe), Georgia and Azerbaijan (each in both Europe and Asia), Armenia, northeast Turkey and northwest Iran (all in Asia). If you are not from there, you are not Caucasian.
While no races in humans can be defined, the US government still classifies people by "race", one of the few if not the only country in the world to do so. The US classifies Europeans, western Asians and north Africans as "white" so the Middle East is "white" according to the US but as "white" cannot be defined, such a classification is meaningless.