More detailed data confirm the claim:

This chart is taken from https://ourworldindata.org/fossil-fuels

[![fossil fuel consumption][1]][1]

The growth is indeed exponential or, alledgedly, linear since 1950 with a strong slope.
The consumption reached 83,000 TWh in 1990, then 134,000 TWh in 2017.

I will look for aggreagated numbers to confirm if 50% of total consumption has happened since 1990, but visually it seems correct.

  [1]: https://i.stack.imgur.com/nHNj4.png