Hello,
_The 'Sachsen' triangle is a post war insignia. Don't forget that the Armdreieck (arm triangle) was introduced late in 1933. At this time all insignias were normalised all over the Reich and nobody in Sachsen (Saxony), and even elsewhere, no longer wore 'special or unit personal' badges.
_There are a few triangles until the end of the war with one line but no one is a district triangle.
_The 'Deutsche Jugend' first used triangles with the era identification (1 or 2 lines) but later the RJF introduced the triangles 'DJ Kroatien', 'DJ Rumänien', ect. It is noticable that the used font was Antiqua (latin) and no more Fraktur (gotic).
Best regards