I was viewing my profile through the browser (Chrome for Android) and I noticed the mobile site did not auto refresh the posts when I sorted them, I had to refresh manually. The screenshots below should clarify what I mean.
After Choosing Sort Type
I went back to check if it had selected Newest which it had as the image shows,
however it hadn't updated.
After refreshing the page it had updated to show the sorted answers.
Since the full site obviously showing the list with the new sort without reloading, this should be the same in the mobile theme as well.
It would definitely increase the user friendliness.