Replace the beading. No other way to rectify without bodging. Presumably it has shrunk along the length and opened the outsides of the mitres more than the insides. Possibly beading is a different species to the door framing? (e.g softwood beading on hardwood framing)
I have used a two part epoxy filler on a garage door frame, the filler dries slightly flexible and can be sanded and painted over:
Timbabuild Timber Repair System - Chemfix Timbabuild EHB60 Epoxy Resin Filler 400ml (Was EHB4) | Sealants Online
Blup
TBH it will probably crack over time - if your beads have shrunk that much there is plenty of opportunity for it to move again in the future.
Were the beads left unpainted for periods?