Motion – noun, meaning a proposal put forward at a meeting for discussion. So you can see that your examples using 'motion' are incorrect. If you can't quite see that, imagine 'paper' (as in an official document) in the same place.
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Grammar GeekI'm not familiar with "to submit a motion"
This is from Langenscheidt Business Phrase Book (2003).
And from Oxford Business:
submit - to give a document, proposal etc to sb in authority so that they can study or consider it; to submit an application/a plan/proposal/report; to submit a bid/cla