How to prepare a DWG for laser cut with color code ?

Hello,

I have made several template in SW to be laser cut into mdf, the company ask me to send then a .dwg file with red line for cut and black for engraving.

So I took my template, set the color of the outside line to red and the contruction line to plain black line so they will get engraved.

But when I export it to DWG, all lines are black and the contruction line are back to dashed ones...

I tried to use layers but I don't seem to be able to set a layer for the construction line.

What is the right way to do it ?

SolidworksDrawings And Detailing