The broken piece on your console is probably the result of someone forcing an ash tray to fit. One of the consoles I had was broken in the same place. What I've found is if you install the long trim piece using the "fit" at the glove box as a stating point, the ash tray will not open properly. Yours, being an A/C console, "should" be easier to slide the shorter trim plate forward.
(You get experience my making a lot of mistakes.)
Jim