ἐλθέτω ἡ βασιλεία σου, γενηθήτω τὸ θέλημά σου, ὡς ἐν οὐρανῷ καὶ ἐπὶ γῆς.
Your kingdom come! Your will be done, on earth even as it is in heaven.
Both ἐλθέτω (come) and γενηθήτω (be done) are in the imperative which indicate a demand. Some translations soften this by saying “May your kingdom come” and “may your will be done”. The word γενηθήτω is from the verb γίνομαι. It means to become, to come into existence, or to happen. So, the prayer is for God’s will to happen on earth just like it is happening in heaven or to come into existence on earth as it is in existence in heaven.