Kyoto Animation is in charge of the animation production.
The staff members include Tatsuya Ishihara (Sound! Euphonium) as director, Nobuaki Maruki (K-ON!) as chief animation director, Yuka Yamada (Koisuru Asteroid) as series composer, Miku Kadowaki (Tsurune) as character designer, Shoko Ochiai (anohana) as art director, Joji Unoguchi (Clannad) as 3D artist, Azumi Hata (Violet Evergarden) as color designer, Hiroki Ueda (Hyouka) as director of photography, Norihiro Tomiita (Beyond the Boundary) as 3D Director, Yota Tsuruoka (Bakemonogatari) as sound director, and Masumi Itou (Mobile Suit Gundam AGE) as music composer. The late Yasuhiro Takemoto, who directed the first season, is credited as series director. Lantis is handling the music production.
Meanwhile, the cast members include Mutsumi Tamura as Kobayashi-san, Yuki Kuwahara as Tohru, Maria Naganawa as Kanna, Yuki Takada as Elma, Minami Takahashi as Lucoa, Tomomi Mineuchi as Iluru, Daisuke Ono as Fafnir, Yuichi Nakamura as Makoto Takitani, Emi Kato as Rico Saikawa, Yuko Goto as Georgie, and Natsuori Ishihara as Shota Magado.
Crunchyroll describes the second season as:
The wacky Dragon Maid is back again! A strange turn of events leads the Dragon, Tohru, to work as Miss Kobayashi’s maid. She occasionally (that’s a lie, she often) causes trouble for her beloved Miss Kobayashi while blending into human society and splendidly (that’s a lie, only mediocrely) carrying out her maid duties. Her fellow dragons, Kanna, Lucoa, Fafnir, and Elma all find their own places to fit in as well and enjoy interspecies interactions with the humans.
Yet while they’re all enjoying that laid-back and occasionally turbulent left, the threat of a new Dragon swoops down upon Miss Kobayashi.
Source: email correspondence