Is Enlisted going to be on xbox one and ps4?
No
Can Enlisted run on a Ps4, most likely, the min/recommended specs of enlisted are not that high compared to a lot of games that are currently available on last gen systems. Not to mention that CRSED:FOAD (Cuisine Royale) essentially is Enlisted battle royale with the addition of modern weapons and super powered characters, and it is available on Ps4.
Will the devs bother creating and optimizing a version of the game for last gen consoles when, if the game is even remotely successful, the devs will have to support said version of the game for years down the road when the next gen systems came out before the game left closed beta? No.