No idea then

Apologies, I don't understand. Board rotation has no bearing on standard notation. The board can be rotated any way at all and the notation doesn't change.

Presumably as you can rotate the board to suit your preference standard notation might not work.

Why is game notation done in this strange way? Is there any way GoldToken could convert to standard backgammon notation?

If your opponent chooses to offer a double, they have to do it before they roll. Therefore, if you accept, they then roll. If you decline, then the computer will roll one dice for you and one for your opponent to decide who starts the next round. Whoever gets the highest number plays that roll. If it's a double the dice are rolled again.

Underneath the game board - click on Adjust graphics

Here you can rotate the board


Board graphics
The labels on the points will be drawn with graphics. You may choose to use text labels or leave the labels off altogether

The board is set up to be displayed with the bear-off point to the right, so your pieces always move counterclockwise. You may change it so that your pieces always move like on a real backgammon board or clockwise

I can't see a problem either.
What exactly do you mean by "reversed"?
Have you checked your graphic settings?

I checked all the moves and everything appears normal. What am I missing?

If anyone can check out this game 14648137, you'll notice the white pieces move in reverse