Being an LLC doesn’t change anything with regard to actual cottage-food law – just the way some aspects of the business may operate. For example, because of the way the name of the LLC is registered, you won’t have to go through the separate process of registering a fictitious name. None of that has anything to do with the products you make and how you sell them under cottage-food law.
Also, be sure to read the cottage-food guidance PDF file from freshfromflorida.com to learn what you you can and cannot do. There are no licenses or permits other than the county (and, in some cases, municipal) “occupational license” (nowadays called “business tax receipt”) which just allows you to run the business but has nothing to do with cottage-food law, in particular.
Any other requirements for permits, food-handling or food-management certification, etc. may be imposed by specific markets (if at all) but are not part of Florida’s cottage-food law.