You can transfer your data using a Link ID by going to [Settings] → [Connect Account] → [Link Data] → [Use ID to Link Account]. You will need to create a Link ID beforehand.
Please note that when you transfer an existing data into your device, the current data you are using will be overwritten.
*Keep in mind that linking your Sonic Rumble account with Twitch will not allow you to play your game data across different devices. Please use [Connect Account] in-game to do so.