Hi Ammar,
Thanks for attaching your structure file which I have successfully loaded and run and I can replicate the behaviour you describe. However I had difficulty in understanding where the moments are coming from as the supported node resisting My moment is only connected to a beam (Sill Beam) which has torsional moments released at the connections to the main girders.

So in essence the bridge deck is acting as simply supported as there is no torsional resistance from the transverse members at the supported node.
There is however continuity in local flexural bending of the sill beams and because the deck is skewed these moments will be resolved into global directions at the supported node where there will be a global My component that will provide an MY support reaction. As this flexural skewed transverse moment is the same sign at each end of the deck the resolved global MY support reaction will also be of the same sign.
I'm not really sure what you are trying to achieve here by releasing the torsion in the sill beam so I can't really help any more at this point
I hope this has explained the results you are getting. If this has answered your query then please mark my reply as a solution so that others may benefit. Thanks.
Kind regards
Dave Geeves