There are probably easier ways to do this, but here's how I got it to work.
In Google Earth, add a new path and select a few points in the area of interest. This could just be a diagonal across the area of interest. It's used for determining extent, not the edges of the background map.
Save the new path as a kml or kmz file.
Ctrl-Shift-T to add a new path, click to add points, OK, Right click on new path in Places pane, Save Place As..., save as kml or kmz.
Start Justin Link
Start a new project, giving it a name and a path. Name could just be Temp, and path could just be Desktop.
Select Project menu, Import Files, change file type to kml/kmz, import the kml file you just saved from GE. This will get Justin Link zoomed to the area of interest.
In the lower left corner, select Map tab.
In the left pane, right click on Added Layers, select Add Google Layer, Satellite. Satellite photo appears.
Again right click on Added Layers, select TVS Background, save the sqlitedb file. Check Create since first level, then OK.
Copy the sqlitedb file to the SD Card at SD Card\VS Data\BackgroundMaps. This can be done with USB and Windows Mobile Device Center, or as Matt said, you can send it to the cloud drive and move it with the LS.
On the LS, choose Collect, Project, Edit Current Project, Background Map, and select the background map you saved.
I have found that the LS will not display full Google Earth resolution, even if I check Create since first layer.