Make sure that you have availability and rates set. Rates are always needed and will always overwrite what is set on the channel. Also it’s worth checking the “Overbooking allowance” in Room types. If your overbooking allowance is set to -1 and you have a room available on InnGenius it will show as 0 on the channel to avoid overbookings. If you set it to 0 then you risk getting overbooked.
To check your overbooking allowance setting, click on Admin Tab and then Room Types (click on each room type)