The Hawk God and The Pitiful Sacrifice: Evening Moon

Tsubame, now deeply in love with Murakumo, the god of the land, has transitioned from being a sacrifice to becoming his mate. Blessed with two children, their days are filled with sweetness and happiness. However, trouble arises when Murakumo's old friend, Itenagi, begins to plot against Tsubame, asserting that he would be a more suitable mate for Murakumo since he is also a god. To undermine Tsubame, who struggles to assert himself for fear of hurting Murakumo, Itenagi reveals the secret hidden in the bruise on Tsubame's neck...

(Source: Kaiohsha, translated)

Note: Includes two extra chapters.