What is the ruling on reciting the poem "As-Salat al-Badriyyah" which includes invoking the people of Badr, and does what it contains constitute shirk or exaggeration concerning the Prophet, peace and blessings be upon him?

The Badr prayers are an innovated form of prayer, and they involve seeking intercession with Allah by means of individuals (the people of Badr). This form of intercession is an innovation in religion. Indeed, seeking intercession with individuals or by their status in supplication is an innovation, and every innovation is misguidance, and a means to shirk (polytheism).