Nope, can't say that I have to deal with this...... Hrmmm.
It might be one of two things...
1) I comb each twist section out completely before twisting it. I don't do comb parts, but I do comb each section, if that makes sense?
2) I do a 'double' twist........ Okay. You've got strand A and strand B, and together they make Twist C. As I'm wrapping strand A & B together, I'm spinning each strand - so it's like Strand A gets 'twirled' then wrapped around strand B. Strand B gets 'twirled' then wrapped around strand A, and so forth and so on.......until I hit the end of the twist, and then I 'twirl' the bottom of Twist C around my fingers, and done.
I think the second step helps stop the matting a LOT, because strand A and strand B can't really tangle around each other, because they are twirled independantly. When I take my twists down, I twirl the whole twist in the opposite direction of how I twisted it, and then pull the two apart (gently, obviously!) I'd say out of my whole head, I might have three strands (usually in my nape where my hair is less kinky but more tangly) where I have to 'fight' them a little to get them to come apart.
I also usually end up with a flyer than all get out twist out as well, because strand A and strand B hold their shape until I start messing with them and 'untwirl' them....
I hope that helped, some....