As things are currently, you can't rearrange the listing of your stories on your profile. It's latest at the top, and that's it.
What you can do is use the much improved series management to link those stories together. Pick the first story in a series, edit it, and go to the bottom where the "series" box is. There, since it's a brand new series, type a name for the new series. You will then have an option to save it, and it will be applied to the story you're editing.
Note that some submissions seem to go straight through without hitting the moderation queue when adding a series is the only change you're making, and some don't. It's a good idea to add a moderator note that all you're changing is the series addition. If it doesn't hit the queue, you only waste a few keystrokes.
Once the series has been created, you will see it as an option on any other story you submit/edit. So you can go to the next story in the series, edit it, select the series from the drop-down, and it will automatically be assigned as the second story in the series.
If, for any reason, you need to shuffle the order of the stories in the series, you can do that on your series management page. https://www.lushstories.com/my-series This is where the new series management really shines. There's a lot I don't like about 2.0, but series management is a joy to use compared to what we had in 1.0, and much more versitile.
It's also the exact sort of code that would be needed to rearrange the stories on our profile as we choose, so the heavy lifting is done for that feature. That gives me hope that we'll get it eventually.
If you want to see what a story that's linked looks like, here's one of mine. https://www.lushstories.com/stories/fantasy-sci-fi/facing-destiny-pt-1-of-2
