When I see you project, I don’t see at all a texture of the mirrored side, CreativeRaul.
Perhaps I got your question wrong? Was your question “how to get a texture mirrored as well”, or “how to get a different texture on a mirrored object” (?).
As you used front and no Tiling , the “location” for the texture is specified and shows up exactly only once. If that texture should show up mirrored you need to turn this into a UV information. (Note there is NO UV Tag at all on it.) Select the object, the texture tag and then >>Object Manager>Tags>Generate UVW Coordinates. Which will take the current setting of the projection and create an UV equivalent normally.
YES, this will be mirrored, as it is a symmetrical object/set.
I have set this up in the attached scene, with an replacement texture. I didn’t got any of your textures. (Save with Assets!) Check the parameter in the attached sceen-shot.
IF the texture needs to be projected in the way you have it, you need to set up the other side as the first one.
Check the normals and the Front/Back of the Texture Tag.
All the best
Sassi
https://www.amazon.com/clouddrive/share/OOISEiUwOEfmyCJAtOpedaPcUFeref6GqA33PYfgfSE