What is the ruling and methodology for dealing with spouses who suffer psychologically from their failure to adhere to prayer, and who repeatedly fail to maintain it despite their repeated attempts?

The sin inquired about in the question (abandoning prayer) is not a light matter; rather, it is among the greatest sins and major transgressions. Its sinfulness is greater than killing a soul, committing adultery, drinking alcohol, stealing, and consuming usury, by consensus of the Muslims. The Prophet, peace and blessings be upon him, described its abandonment as disbelief in several hadiths, among them his saying: "The covenant between us and them is prayer; whoever abandons it has disbelieved," and his saying: "Indeed, between a man and polytheism and disbelief is the abandonment of prayer." The soundness of prayer means the soundness of deeds, and its corruption means their corruption, because the first thing a servant will be held accountable for on the Day of Judgment is his prayer. "If it is sound, he will have succeeded and prospered; and if it is corrupt, he will have failed and lost." Abandoning prayer nullifies good deeds, for the Prophet, peace and blessings be upon him, said: "Whoever abandons the 'Asr prayer, his deeds are nullified." One must hasten to sincere repentance, increase in supplication and humility before Allah, maintain the post-prayer remembrances, pray for both spouses in this regard, and remind each other of the importance of prayer.