When flying an offset non-precision approach with FLS, the F-LOC beam projected by the FMS presents a straight runway extension instead of the offset approach path as described by the FCOM. See the following pictures for an example from EBBR on the VOR 07L, which is offset by 15°.
Note the difference between the magenta-dashed FLS beam and the solid green NAV path. According to the FCOM however the FLS beam should extend from the MAP (recoded as EPxxx, here EP07L) on the reciprocal of the final approach course, see the FCOM reference below:
This makes FLS basically useless for offset approaches in the current implementation.
Behaviour is consistent across FS20 and FS24 with both NG and default navdata and tested at various airports.
The requirerd data should be available in the NG dataset at least, see the below excerpt from the NG database for the Prepar3D FSLabs A32X with the relevant data highlighted in yellow: