They question you about the new moon. Tell them: it is to determine the periods of time for the benefit of mankind and for the Hajj (pilgrimage). It is not righteous to enter your houses from the back doors during Hajj times. Righteousness is to fear Allah. Enter your houses through the proper doors and fear Allah so that you may prosper.
Meaning:-
righteous: to be right, especially in a moral way
Righteousness is the state of being in right standing with God and living in accordance with His divine character, embodying justice, mercy, and virtue.