LightBurn does not provide this “two sided project” automation in some tool as I think you are describing, no. But we do provide tools to assist this workflow. You can go after this from a few different directions, depending on your situation and requirements.
One way, the use of a placement jig or hold down for the material that provides a guaranteed registration. Once the jig has been set, work front side, then flip for back work, knowing the material is in the exact same location on the bed every time.
You can also mark the material with registration targets and have LightBurn adjust to those targets, registering the front and back work the same. Take a look at the ‘Print And Cut’ tool, Print and Cut - LightBurn Software Documentation
You can set the targets (cross-hair markers or some other shape) to burn all the way through, allowing you to use these original, front-side targets again once the material is flipped, from the back-side of the workpiece for alignment.
Here is a video showing how the 'Print And Cut’ tool works. This is mid-video for a different flow, but you will see how the process can be used to re-register everything to allow continuation of previous cuts.
And another, again a different flow, but showing how to use 'Print And Cut’ to tell LightBurn how a thing is registered, adjusting the machine job path to match that of the orientation of the material.