Is man of tomorrow part of the dc extended universe?

Quick Answer
Yes – Man of Tomorrow is the fourth film in the DC Universe (DCU), the current continuity created by DC Studios, and is not part of the older DC Extended Universe.
Explanation
Man of Tomorrow is officially positioned as the fourth installment of DC Studios’ DC Universe (DCU). The film follows the 2025 Superman movie and is written and directed by James Gunn. It features the classic DC Comics characters Superman (Clark Kent) and Lex Luthor, who team up to confront the superintelligent Brainiac. The production is overseen by Gunn and Peter Safran and represents the next chapter in the new DCU continuity that began with Batman Vigilante. This continuity is distinct from the DC Extended Universe (DCEU), the earlier, separate franchise that included films such as Man of Steel and Justice League. Therefore, while Man of Tomorrow is part of DC’s current cinematic universe, it is not part of the DCEU.