Jon Gries wears Oliver Peoples Clifton sunglasses in Season 2 of The White Lotus (2022).

It looks like the Oliver Peoples Clifton OV1150S worn in the Season 2 have a gold frame and brown gradient lenses.

Shop at Specs Collective ($506)
Free shipping - Prescription lenses available

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Shop at Pret a Voir (silver, $507)
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Also available in other colors on EZ Contacts ($446 - $506)
 

Similar sunglasses
Since the Oliver Peoples Clifton glasses are pricey, you could consider the Ray-Ban 3136 Caravan model, which has a similar square aviator shape. 

These Ray-Bans are seen in many films and series, including Top Gun Maverick, which made these one of the most popular on-screen frames.

Shop at Ray-Ban ($183)
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Promo: 30% OFF SECOND PAIR

Shop at Amazon ($183)
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These are the same model sunglasses as worn by James Spader in The Blacklist and by Pierce Brosnan in the movie Urge.

See more sunglasses in The White Lotus here.

Reference: Oliver Peoples Clifton OV1150S