Export from Figma
The first step is, to Export the Project from Figma. For that, Click on The Figma Icon>File>Export frames to PDF…. .pdf is already an Adobe format, so we can do a lot with it. Within The Adobe Eco System.
Convert to .ai (Adobe Illustrator)
Theoretically, we could already import the .pdf into After Effects. But then it would be just an Image, and it is not possible, to control the Single Elements.
Which is the reason, we open it in Illustrator.
There we can create a Layer for every Element, we want to influence individually later on in After Effects.
We can create an extra Layer for the Logo, The Menu and so on. Whatever makes sense for you.