On multi-engine aircraft, if you lose an engine early in the takeoff, you abort the takeoff. If you lose an engine late in the takeoff, you continue the takeoff on the remaining engines (certification regulations require this to be possible).
The speed at which the decision transitions from “stop” to “go” is called the V1 speed.
My guess would be that they lost an engine just before they reached the “V1” speed, attempted to abort the takeoff, and for some reason forgot to deploy the thrust reversers.
Take a look at the engine visible in the photo in Post 9 and you’ll see that at least on that engine it’s not deployed.
Another possibility is the loss of the engine sensor while the engine thrust was actually OK. This means the abort section of the runway will likely be used up and then some, But your comment about not deploying the reverse thrustors, is also part of the issue.
I was on a similar MD plane that lost an engine pressure sensor and the pilot had to abort the take off. Later they learned that there was nothing wrong with the engine, just the sensor. We skidded and used up all the available runway for abort take off at SeaTac. Kind of a rush but all it cost us is a new sensor and some additiona time at the terminal.