What's the term for a show which is augmented with content in real life?

Solution 1:

Consider calling it an interactive TV show that has elements of TV synchronicity.

Load Testing an interactive TV Show with over 1 Million Users ... One of the big technical challenges was the achievement of the so called "TV synchronicity": Enabling an interactive, real time game experience with the TV audience via the Quizduell App at home - Stormforger

It's also been termed social TV:

Real-time content synchronization between offline and online media has become the darling of social TV, frequently serving as its very definition for companies looking to marry traditional and digital marketing experiences. prophet.com