The Facebook post linked to a YouTube video showing a picture montage of the youngster together with images of her parents during their long campaign to find her.
Prosecutors in the northern city of Braunschweig in October had charged Christian Brueckner in several separate cases involving sexual offences allegedly committed in Portugal between 2000 and 2017.
But the court decided not to hear the case because the region where it is located is not the last place where Brueckner lived in Germany.
Brueckner, who has reportedly denied any involvement in Madeleine’s disappearance, was identified as a murder suspect in the McCann case by Portuguese officials in June 2020.