Yashahime: Princess Half-Demon

The daughters of Sesshomaru and Inuyasha set out on a journey transcending time. In feudal Japan, half-demon twins Towa and Setsuna are separated from each other during a forest fire. While desperately searching for her younger sister, Towa wanders into a mysterious tunnel that sends her into present-day Japan, where she is found and raised by Kagome Higurashi's brother, Sota, and his family. Ten years later, the tunnel that connects the two eras has reopened, allowing Towa to be reunited with Setsuna, who is now a Demon Slayer working for Kohaku. But to Towa's shock, Setsuna appears to have lost all memories of her older sister. Joined by Moroha, the daughter of Inuyasha and Kagome, the three young women travel between the two eras on an adventure to regain their missing past.

Synopsis from Anime News Network