This is simple but attractive option in 3.7.3 update of Greenshift. You can animate gradients in Background overlay and in Typography.
For this, enable gradient in Overlay. Then, add size to X and Y. It must be more than 100. More gradient points you have, more bigger size you need. For example, if you have 5 points, reasonable value will be 500-800.
Then, simply add animation speed.