In RAM connection software, when I include axial load for double bent plate connection, it does not check for prying.
True, in the AISC bent plate (or double bent plate) connection template, only beam shear forces are considered. That's a limitation.
My question/comment is when you have both vertical shear and axial force on a skewed beam, the bent plate bolted (to the support column) - welded to the beam web ignores the axial force and does not check bolt tension & prying at the bent plate to column interface.
What design code are you using? I assume the plates are bolted to the beam and that prying is considered when the loads are only shear forces.