The KJV is a better translation:
37 O Jerusalem, Jerusalem, thou that killest the prophets, and stonest them which are sent unto thee, how often would I have gathered thy children together, even as a hen gathereth her chickens under her wings, and ye would not!
38 Behold, your house is left unto you desolate.
39 For I say unto you, Ye shall not see me henceforth, till ye shall say, Blessed is he that cometh in the name of the Lord. Matthew 23:37–39.
34 O Jerusalem, Jerusalem, which killest the prophets, and stonest them that are sent unto thee; how often would I have gathered thy children together, as a hen doth gather her brood under her wings, and ye would not!
35 Behold, your house is left unto you desolate: and verily I say unto you, Ye shall not see me, until the time come when ye shall say, Blessed is he that cometh in the name of the Lord. Luke 13:34–35.
Notice Jesus brings an accusation against the religious leaders and the people in Luke 19:34, and Matthew 23:37.
In both verses He says, "Your house" not the Lord's house.
BUT
The people said that very thing later on in His triumphal entrance into Jerusalem:
37 And when he was come nigh, even now at the descent of the mount of Olives, the whole multitude of the disciples began to rejoice and praise God with a loud voice for all the mighty works that they had seen;
38 Saying, Blessed be the King that cometh in the name of the Lord: Luke 19:36–38.
Salvation is not a "Do" (works) religion where man is concerned. The Hebrew people cannot earn their way to God when it is God who is performing the "works" to save His covenant people. But it is when we learn that God is the One who instructed sacrificial system that would lead to God sending His Son to die under that sacrificial system for the people, so, yes, when applied to God, it is a "works" salvation because after the first Sabbath in Genesis 2:1-2 when God rested from creating He went right back to work on the Plan of Man.
And has been working ever since.
17 But Jesus answered them, My Father worketh hitherto, and I work. John 5:17.
After many centuries of working towards the salvation of God's covenant people it was Miller Time.
30 When Jesus therefore had received the vinegar, he said, It is finished: and he bowed his head, and gave up the ghost. John 19:30.
Now the Hebrew people received salvation as the result of God working from the beginning towards that goal. So, yes, salvation is a "works" salvation when applied to God, but not to man. They are passive in their salvation. This is why Jonah said, "Salvation is OF THE LORD!" (Jonah 2:9.)
Let that sink in.
The New Covenant is only the Mosaic Covenant fulfilled by Jesus Christ.
17 Think not that I am come to destroy the law, or the prophets: I am not come to destroy, but to fulfil. Matthew 5:17.
Mission Accomplished.