All the writings of the NT make it abundantly clear that the whole purpose of Jesus’ mission was to glorify God and his name - yeah, ok, but there is little evidence of Jesus actually using the divine name.
Jesus had a lot to say, but not much of that was 'Jehovah this' or 'Yahweh that'.
Jesus may have 'glorified God's name', but he didn't use it much, at least judging from the Gospels.