**Prepare the Baking Sheet:**
- Line a baking sheet with parchment paper or a silicone mat. Set aside.
**Cook the Sugar Mixture:**
- In a medium saucepan over medium heat, combine granulated sugar, brown sugar, butter, and evaporated milk. Bring the mixture to a boil, stirring constantly, and let it cook for 2-3 minutes.
**Add Flavor:**
- Remove the saucepan from heat. Stir in vanilla extract, shredded coconut, and quick oats until well combined.
**Form the Cookies:**
- Using a spoon or cookie scoop, drop spoonfuls of the mixture onto the prepared baking sheet. Flatten slightly if desired.
**Set the Cookies:**
- Allow the cookies to cool and set at room temperature for about 30 minutes, or place them in the refrigerator for faster setting.
**Serve:**
- Once firm, enjoy immediately or store for later!