The Church of England publishes the texts of motions proposed by individual members of General Synod here: Private Members’ Motions. The page is updated from time to time, most recently two days ago.
There has been this one addition since last month’s meeting of General Synod.
Liturgies for same-sex couples
Ms Christina Baron (Bath & Wells) to move:
‘That this Synod:
Request the House of Bishops to commend an Order of Prayer and Dedication after the registration of a civil partnership or a same sex marriage for use by ministers in exercise of their discretion under Canon B5, being a form of service neither contrary to, nor indicative of any departure from, the doctrine of the Church of England in any essential matter, together with guidance that no parish should be obliged to host, nor minister conduct, such a service.’
Private members’ motions are only considered for debate if they are signed by at least 100 General Synod members. The process for adding signatures is described here: GS Misc 1166.