A straight tuck (STE) folds both tucks from the same panel, so they close in the same direction. The front face stays cleaner for graphics. It uses a little more board than a reverse tuck, and someone still has to close the bottom by hand.
A tuck-top auto bottom (TTAB) has a tuck at the top and a crash-lock bottom. Squeeze the sides and the bottom locks. It sets up fast and holds bottles, jars, and kits better than a tuck bottom. It costs more board and a more expensive die than a straight tuck.
Pick the TTAB when the carton has to pop open on a packing line or carry weight. Pick the straight tuck when the face has to stay clean and the packer can close a tuck. If you do not know the style, the carton styles page shows both folded and flat.