1) One is New Glenn by Blue Origin, which plans to land the booster (incl. the BE-4 engine) from the get go. https://www.youtube.com/watch?v=532ay25-kmU&ab_channel=Video...
2) The other rocket is ULAs Vulcan, which plans to land the engines without the booster using a parachute and helicopter. However, that plan is on paper only and it won't be implemented yet when Vulcan goes into service. As OPs article states, there isn't even an official timeline. Presumably ULA is waiting for government money to develop the capability. https://www.youtube.com/watch?v=lftGq6QVFFI&ab_channel=Unite...
New Glenn taking that market is pretty unlikely for many years to come.
ULA has always survived on government launches alone. Now they survive on less then half the government launches, but there are more of them.
Blue Origin's rocket, New Glenn, will use the same engine, be bigger than Vulcan and be reusable by landing like Falcon 9. It is supposed to launch in 2022.
I remember blue orgin trying to block SpaceX from pad 39A. They even appealed NASA's decision to GAO I think. They were going to be launching orbital mission in 2018 I think with folks on board. Whatever happened to those launch plans? Elon had a pretty memorable quote I think.
"If they do somehow show up in the next 5 years with a vehicle qualified to NASA's human rating standards that can dock with the Space Station, which is what Pad 39A is meant to do, we will gladly accommodate their needs," Musk wrote. "Frankly, I think we are more likely to discover unicorns dancing in the flame duct."
> Through 2020, ULA has not announced firm plans to fund and build/test this engine-reuse concept, though they stated in late 2019 that they were "still planning to eventually reuse Vulcan’s first-stage engines."