This is what I remember of the story I'm looking for:

- Inuyasha betrays kagome in the past warring era.
- She goes home after she has done with her job, in the past (finishing and wishing on the jewel).
- Moving to the future, Sesshomaru is waiting for kagome because he is her alpha.
- Now in the future, kagome wants Sesshomaru for a mate (Sesshomaru has two sons already but no mate).
- He let her think on it and then test her (xxx moments here, silk and poems).
- She has to fight to be Sesshomaru's mate (I think she starts to fight one of koga's granddaughter).
- Having sex in front of everyone and is pupped.
- She has three or four pups, I think.
- When the pups are introduced to everyone, Inuyasha and his mate are there.

Please Help

Is it Giving Back by Sarhea? (Rated MA)

This is the one I've been looking for. I wouldn't have located it. Beause, I didn't remember the beginning of it. Thank you for your help.