This is related to #364 and #2815, as well as a follow-up to #5149.
There's a respective issue in d.org: https://www.drupal.org/project/drupal/issues/216898
This is the current icon:

It is currently being used in the following places in core: - https://github.com/backdrop/backdrop/blob/1.x/core/modules/system/css/sy... - https://github.com/backdrop/backdrop/blob/1.x/core/modules/layout/css/la...
I'd like to propose to replace the current icon with separate black/white variants of https://fontawesome.com/v5.15/icons/arrows-alt?style=solid

I would also like us to add black/white variants of the following icons:
- https://fontawesome.com/v5.15/icons/arrows-alt-h?style=solid
- https://fontawesome.com/v5.15/icons/arrows-alt-v?style=solid

One use case for the up/down arrow in core is the flexible layouts edit form, where we are currently using the drag cross icon. This doesn't make sense in that page though, since region rows in that form can only be dragged up/down.
Using fontawesome as the source would make it easier to replace these with the respective font icons later (#364), and that's what we have been using for the icons in places like the admin bar, the Dashboard etc.
Recent comments
Yes indeed. We are exploring a few other more costly options, but as we are a low-resource start-up, we could save a lot of money by integrating Backdrop, CiviCRM and Ubercart for our membership...
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Hello Chrys.., It looks like it was for Drupal 6, with a Dev release for D7... Never seen it before, but it looks like an interesting module... Do you have an immediate need...
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I do have the apache status page set up ... I will look in to this really fast. BRB.
Status Report Page throws : Forbidden You don't have permission to access this resource.