A catchphrase that alludes to the infamous “To my ex” or “hot dog husband” video that can be found on YouTube.
Definition #1
TL;DR
This phrase can be used casually to reject someone’s attempts to take control of a situation, or to reject someone’s actions/existence in general.

Sunglasses are used to control the amount of sunlight one’s eyes perceive, worn to seem mysterious or intimidating, or as a choice of fashion. All of these have assertive intentions, therefore, the phrase “fuck your sunglasses” is reject someone’s attempt to utilize metaphorical “sunglasses.”

Definition #2
Rejecting someone else’s perspective, as in the metaphorical sunglasses one perceives something.

n. The birth name of somebody who has changed their name. Most commonly attributed to trans people, but can be attributed to any person who has changed their name. (sometimes written as two words: dead name)

v. 1. To call somebody by their deadname.
v. 2. To out somebody's deadname to the public.