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It looks like the door molding?Is it broken?If you can post pics from the inside i may be able to give you some tips.
As i sit here and look at it,the only thing you can do is remove the molding from the door,& use window urathane to repair it.Be careful urathane can be very messy.
There was a whole thread on this not too long ago..Short version..buy a new one and DIY..Lower door trim is about $25..Good luck..about a 20 minute job.
I use versachem plastic welding system on the same split u have.Apply it between the split and behind the trim. U can p/u the plastic weld at any Wal-Mart.