Is there any taxi service in Mauritius such as Uber?

Uber does not operate in Mauritius yet unfortunately.

Never heard of YUGO before. So I checked their website and their Terms & Conditions page does not even load. That to me is a very poor start, especially when you're supposed to be paying through the app/site for the rides.

Services like these take a long time to be embraced by people because it's a whole new way of doing things. You first need a significant amount of users - drivers to sign up and customers to request rides. Without one or the other, there's not much use to the service.

You also need lots of reviews for people to trust in the system, for the taxi drivers to be on time, there are loads of things to take into consideration.

Best option, at this moment in time, is to use your local taxi driver - someone you/your family/friends know.