Only gym administrators can make a new Movement. The gym has to either have a Gym Pays subscription OR if they are on a Members Pay subscription, there has to be 3 or more paying members in the gym. Movements can only be added or requested via the web. We limit the number of people who are allowed to create Movements to avoid duplicate Movements being created under different names.
If you are a gym admin, you can create a new Movement via the Movements page. Go to the "Explore" menu in the header and click on the "Movements" link from the drop-down menu that appears, scroll down to find "Add a Movement" under the pie chart.
We are hard at work on a function that will allow regular users to suggest Movements for us to add. We will have this added ASAP :)