Yeast is present on both ingredient lists. I understand yeast is pretty sensitizing and that people can develop intolerances to it pretty easily (although what you described sounds more like an allergy), yeast can be grown on different substrates (beets, molasses and barley I think are a few) so you can get trailing sensitivities from those mediums. Just something to add to your possible suspects list.
Maybe get a skin test if it continues?
My throat used to itch when I would eat strawberries but I grew out of it.