Team NINJA between the lines said that the reason for the Core Fighters of DoA5U not being included in the Xbox 360 was related to Microsoft's policy. For DoA5LR seem that they were able to reach an agreement with them, so on Xbox One we got DoA5LR Trial Version and DoA5LR Core Fighters.
DoA5LR Trial Version is a game completely free, but actually is more as an half demo: you have access to Kasumi, Ayane, Hayate and Hayabusa, you can also play online, but all the locked contents can't be unlocked (so there is no possibility to buy other characters, music ecc...).
DoA5LR Core Fighters for Xbox One is a paid version, but it's something more of the CF on PS3. Indeed you have access to Kasumi, Ayane, Hayate and Hayabusa, you can play online, you can buy the locked contents (the other characters, music, movies, ecc..) and in addition you have unlocked even 4 further characters (Tina, Bass, Jann Lee and Hitomi) so for a total of 8 characters available since the start.