Ok- it LOOKS to me like you've done a bias fold and run both ends through the ring from OPPOSITE sides and then tied them in back, which certainly would work. But...you can also get a similar look bias folding it, then run both ends the SAME direction through the ring and take them to the back...like this...Either one works. Your way has a slightly more circular look. so it seems like just a matter of what look you are wanting at the time.
Running the ends the same direction through the scarf ring looks like this:
View attachment 4341104
and then tie them in back:
View attachment 4341103
Let me know if I got it right!