When I add text to a double bar line, it pushes the rehearsal mark up in parts with multimeasure rests. I attached screenshots of the galley view of the score (what I want) versus page view of the part (what I don’t want).
I’ve tried various things in paragraph styles to both default text and rehearsal marks to no avail.
You can disable text collision avoidance for this text items, which removes it from vertical spacing considerations, but then risks it colliding with other items. You can move it in Engrave mode to wherever you want it to appear instead.