Those doors are without doubt the right way up. The bottom rail is always bigger. The layout of the panels, while curious, is deliberate.
If they arent drying then I'd give the wet areas a rub with a rag soaked in white vinegar, this helps speed the process and I have done it on mine.
If they arent drying then I'd give the wet areas a rub with a rag soaked in white vinegar, this helps speed the process and I have done it on mine.