What on earth are you doing up and around at this time in the morning?
You have a leaf borer of some description, but I can't find anything specific to marjoram/oregano. At the moment, the only advice I can offer is to remove and BURN the badly infected leaves. If you keep a sharp eye out, you may get away with a quick snip of part of the leaf.
Spraying with an insecticide might help, but I doubt you'd want to eat the marjoram after you'd done that.
Mike
EDIT: I came across a reference to garlic water as a remedy (nothing specific - just a mention). I should imagine that's simply water infused with garlic and sprayed on (after you've removed the infected leaves) - worth a try? Let's face it, you'll probably include garlic in the recipe which includes marjoram anyway
