The male lead enters into a contract with a female CEO in which he’ll serve as her house husband for a while.
Initially he’s involved with a girl as well and lying about his profession, it’s one of the reasons he takes the house husband job, so he can get the position he told her he has.
This is half of the manga, the other half is a story about a future version of a guy coming back to the past to bring him a female robot or something, because he never lost his virginity or something, I don’t remember this one so well because I dropped it halfway through but it’s inside the same manga so just saying in case it helps find it.

Ore x Yome - Cupid no Itazura

Thank you very much.