Preheat the oven to 400ºF. Prepare a rimmed baking sheet with parchment paper.
In a blender or food processor, add 3 tbsp lime juice, siracha, soy sauce, hoisin, ginger, garlic, and honey. Blend until smooth.
Remove 1/3 cup and set aside. Transfer the rest to a small saucepan. Simmer over low heat for about 10 minutes, until reduced.
While the hoisin glaze is reducing, prepare the carrots. On the baking sheet, toss trimmed carrots with sesame oil, salt, and pepper. Spread evenly. Bake for 15 minutes.
Push the carrots to one half of the baking sheet and place the salmon on the other half. Glaze both the carrots and the salmon with the reduced hoisin.
Bake for 9-12 minutes until the salmon is opaque and the carrots are tender.
To the hoisin sauce that did not reduce, add the last tablespoon of lime juice. Serve it as a finishing sauce alongside the salmon, carrots, rice, cucumber, edamame, and any other toppings you might like. Everyone creates their own bowl at the table. Finish with sesame seeds. Serve and enjoy!