Husband’s responsibility for his wife’s shortcomings in prayer
Question

                If the wife do not pray regularly or do not fast or violate other obligatory act, will the husband be responsible for this on the day of judgement, will he be punished for that and what is his responsibility under above situation in this world?
Praise be to Allah.
    Allaah says (interpretation of the meaning): 
“Men are the protectors 
    and maintainers of women, because Allaah has made one of them to excel the 
    other, and because they spend (to support them) from their means”

    [al-Nisa’ 4:34]

    This aayah states that the man is the guardian of the woman 
    and is in charge of her. According to a saheeh hadeeth, the Prophet  
    (peace and blessings of Allaah be upon him) said: “The man is the shepherd 
    of the members of his household and is responsible for his flock. Each of 
    you is a shepherd and is responsible for his flock. So the man is a shepherd 
    and is responsible for his flock.” The most important duty of the “shepherd” 
    is to guide his “flock” to obey the commands of Allaah by doing that which 
    Allaah has enjoined and abstaining from that which He has forbidden. In this 
    way he will be fulfilling his duty of enjoining what is good and forbidding 
    what is evil. So the husband has to tell his wife to do that which Allaah 
    has enjoined upon her and he must forbid her to do that which Allaah has 
    prohibited. The greatest duties that the Muslim must fulfil are the five 
    daily prayers and fasting Ramadaan. These are two of the pillars of Islam. 
    The husband must tell his wife to do these things and to observe these two 
    pillars regularly. It is not permissible for him to be careless in this 
    matter. The same applies to all other obligatory duties. He must also forbid 
    her to do that which Allaah has forbidden, whether it is words or deeds. If 
    he sees that she is responding and obeying, then that is what is required. 
    But if she persists in disobeying then the Muslim man should not stay with 
    her, rather he has to divorce her. How can a Muslim be pleased with a wife 
    who does not pray or who misses some of the prayers, or does not fast in 
    Ramadaan? This is something that is not befitting for a Muslim. Allaah says 
    (interpretation of the meaning): 
“The believers, men and 
    women, are Awliyaa’ (helpers, supporters, friends, protectors) of one 
    another; they enjoin (on the people) Al‑Ma‘roof (i.e. Islamic Monotheism and 
    all that Islam orders one to do), and forbid (people) from Al‑Munkar (i.e. 
    polytheism and disbelief of all kinds, and all that Islam has forbidden); 
    they perform As-Salaah (Iqaamat-as-Salaah), and give the Zakaah, and obey 
    Allaah and His Messenger. Allaah will have His Mercy on them. Surely, Allaah 
    is All-Mighty, All-Wise”[al-Tawbah 9:71]
Whoever does his duty 
    of enjoining what is good and forbidding what is evil has freed himself from 
    blame and is safe from the punishment of Allaah. But whoever is careless and 
    negligent is exposing himself to the threat which Allaah has issued to those 
    who neglect this duty. Allaah says (interpretation of the meaning): 
“Those among the Children 
    of Israel who disbelieved were cursed by the tongue of Dawood (David) and 
    ‘Eesa (Jesus), son of Maryam (Mary). That was because they disobeyed (Allaah 
    and the Messengers) and were ever transgressing beyond bounds.
79. They used not to 
    forbid one another from Al-Munkar (wrong, evildoing, sins, polytheism, 
    disbelief) which they committed. Vile indeed was what they used to do”
[al-Maa'idah 5:78-79] 
“O you who believe! Take 
    care of your ownselves. If you follow the (right) guidance [and enjoin what 
    is right (Islamic Monotheism and all that Islam orders one to do) and forbid 
    what is wrong (polytheism, disbelief and all that Islam has forbidden)] no 
    hurt can come to you from those who are in error”[al-Maa'idah 5:105]
The mufassiroon said 
    that “If you follow the (right) guidance” 
    means, if you fulfil your duty of enjoining what is good and forbidding what 
    is evil.