Barracuda Headliner question

Hello all,

I took my 1969 Barracuda Notchback to have the headliner replaced, The upholstery guy said I got the wrong headliner. It does not have the 2 sides that go down along the rear window. It is pretty much just a big square, I looked at the part number and it appears to be correct. Does anyone have any experience in replacing headliners in a barracuda notchback?

Thanks