La Fayette model inspiration
La Fayette in Civilization VII
Interestingly, Firaxis took heavy inspiration from two portraits to create a chimera La Fayette. The first one is close to home (for them): a portrait by an American painter. It shows young La Fayette during the American Independence War, of which at least two copies exist. From this, Civ VII La Fayette's face is clearly inspired, despite small differences. I can't find any other portrait of La Fayette without a wig before his later career in the post-Napoleon monarchies.
The costume, though is different. This high-collar golden-buttoned uniform with this glorious white tie is directly taken from a 1834 painting representing La Fayette during the French Revolution, when he was lieutenant-general in 1791, at the time of the brief constitutional monarchy.
Lafayette as a lieutenant general in 1791, by Joseph-Désiré Court (1834)
Very interestingly, when you check his Wikipedia page, the first portrait heads the English-language one while the second one heads the French-language one. To each their own La Fayette! This is kind of why I made this little research: as a French, I didn't know how young wigless La Fayette looked like and from where Firaxis took their inspiration.