Copper foil stained glass method maybe?
It would help if you posted a picture of the broken glass. Glue would work but another option might be to connect the two pieces using a process stained glass artists use called copper foil (she said not being able to see the damage). Copper foil would be more visible but if it's in the back of the cabinet you might not notice it and it would be a stronger fix.
For reference the copper foil method is used for creating stained glass lamps. And they are incredibly strong. Just an idea 
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