The damper plate (the black plastic part in the photo) fits into a ridge at the underside of the large alu lid.
At the side of the "neck" of the damper plate is another "ridge", more square in shape, where the small glider (a small plastic part about 4mm long) rides up and down when the lid is opened and closed, carrying the curved end of the torsion spring - the glider has a curved indentation to suit this.
The other end of the spring is held behind a protruding plastic "nose" at the Beocenters chassis (put the other parts together first and fit
the end of the spring behind the plastic nose as the last thing).
The glider (not shown in your photo but can be seen here: