Channel Hop: Batman: The Animated Series aired on Fox Kids, then The New Batman Adventures, Superman: The Animated Series, Batman Beyond, The Zeta Project, and Static Shock aired on Kids' WB!, and Justice League and Justice League Unlimited aired on Cartoon Network.
Shrug of God: In the New 52 comic verse, universe 12 follows the Batman Beyond time period. The writers more or less claim it is the same verse as the DCAU or at least close enough to it that they don't really contradict each other.