In the first scene, where the man and woman are being chased through a tunnel, the man wears a thick down jacket in the first shot. In the second shot he just wears a sweater. In the third shot he wears his jacket again. When they finally reach the door, he is just wearing his sweater again.
In the beginning of the movie a wind turbine is seen with wings having their trailing edge into the wind instead of its leading edge. The wings are either constructed for counter-clockwise rotation (in the movie the turbine rotates clockwise) or are pitched around 180 degrees. Either way, the turning of the turbine is impossible with this blade configuration.
The bridge is shown to have random nearly-circular holes punched through the reinforced concrete on its deck, but almost no damage to its steel superstructure. An ice storm or ice age would not have caused damage like that; nor would any other condition shown in the movie.
Towards the beginning when they cross the bridge there is almost no snow on the bridge. The bridge should be completely frozen and covered in snow, not the clearest and least frozen place they hike through.
The goof item below may give away important plot points.
The flesh of carnivores (like humans) does not contain as many usable nutrients as that of herbivores, so people who are exclusively cannibals would be weaker than typical; not immensely stronger & faster.