The report of ‘Abd Allah ibn Zayd includes:
وَحَوَّلَ رِدَاءَهُ
Translation: He turned his cloak.
This supports the leader’s turning of his cloak. Whether the congregation imitates this act is a separate juristic dispute.
Opening interactive controls...
Prophetic evidence for turning the cloak
Salat al-Istisqa: Supplication for Rain and Juristic Rulings
The report of ‘Abd Allah ibn Zayd includes:
وَحَوَّلَ رِدَاءَهُ
Translation: He turned his cloak.
This supports the leader’s turning of his cloak. Whether the congregation imitates this act is a separate juristic dispute.