Hopefully, the combined knitters on this forum will see this Tuesday morning and give you a better response than I will. Here's what I can contribute.
Flat knitting 2x2 rib:
In the first row of 2x2 rib, wrap the yarn clockise around the needle on every 1st purl stitch. When you do the second row, you have to untwist these stitches. The twisted purl stitches from the first row will be knit
stitches on the 2nd row. Look for all the 2nd knit stitches on this 2nd row and knit them TBL. You'll also wrap the yarn clockwise around the needle on all the 1st purl sts, just like you did on the first row. Here's an excerpt from Nona Knits
Knitting in the round 2x2 rib:
So listen carefully and I'll tell you my ribbing secret. When purling the first stitch after a knit stitch, wrap the yarn clockwise instead of counter clockwise. And remember, when you encounter a "twisted" stitch -- a stitch with its left leg in front of the needle instead of its right leg -- knit (or purl) that stitch through the back loop.
On the 1st round, wrap yarn clockwise on all 1st purl sts. Now, on the 2nd round it's slightly different. Purl all twisted sts TBL AND wrap the yarn clockwise. Two things are happening: 1) you're untwisting a stitch; and 2) you're creating a new twisted purl stitch.
What am I not certain about? When doing the 2nd row of combined 2x2 rib, do you wrap the 2nd knit sts clockwise so that this vertical column of stitches is always being twisted on every single row like it is for knitting ITR? This is where the more experienced combined knitters need to jump in!