My first thought would be to get in touch with the suppliers and ask them to sort it out, if its relatively new.
My old doors have the decorative mouldings pinned in place, not glued. It seems to give the panels just enough room to move, even though the pins do go through the edges of the panels.
If the panels them selves are glued in then I can't think what to do apart from dismantling the door and rebuilding. If the glue has just come from an excess used when sticking on the moulding it might be possible to destroy and discard the moulding and replace with new. I would be thinking of using a vibro saw, with the underside of the teeth ground off, to cut away the old moulding.
I can think of half measures, like filling any dry weather gaps with a wood coloured mastic.
I wouldn't be surprised if the old methods had been put aside in favour of quicker production.
"When I was younger, I could remember almost everything, whether it happened or not." Mark Twain