I have made this sweater a couple of times now. Let me see if I can explain the way I did these stitches; which are, by the way, decorative stitches for the edging around the neck and down the front edges of the sweater. For the LCS, insert the right needle into the back of the second stitch on the left needle and put the working yarn around as if to knit. Pull the yarn up through the stitch as knitting but do not put onto the right needle as usual; insert the right needle, which now hold the knitted second stitch into the front of the FIRST stitch on the left needle as if to knit and pull the yarn around it as knitting and then transfer BOTH stitches to the left needle. You have knitted them both, one from the back and one from the front, and if you did this correctly you will end up with two knitted stitches on your right needle. You are just knitting them "out of order" and knitting the second stitch in the back and not the usual way in the front. Is that clear at all??? The RCS is just the same idea except you knit the second stitch on the left needle from the front and then the first stitch in the usual manner. This, in essence, crosses the second stitch over the first one also. After you do a few of these you will see the pattern of it and how it makes this sort of "bumpy" border that is really very pretty. You are just knitting out of order and one from the front and one from the back. I wish I could show you!! If you have the original number (2) on the right needle then you have done it right; you don't want to add a stitch thus throwing off you cast on amount. Hope that helped. The sweater is really cute and once you finally get this it makes sense.
aka Susan in NC