There are several ways of doing twisted sts depending on the instructions in the pattern that you're using. Here's a video
from Eunny Jang that gives some help on managing the sts. Perhaps the easiest is to reverse the order of the the sts first and then work them but your directions may be slightly different. Here's another video for the lattice stitch which is similar.
(I don't understand how this woman can continue knitting with all the competition in the background.)