He started to fast two consecutive months then Ramadaan began. Should he stop the consecutive fasts?
Question

                When fasting during Ramadhan, if one fasts and has sexual relations with his wife during this time, I know kaffarrah is necessary. However, what if the next Ramadhan appears and one fasts and completes the fast. Does Allaah (awj) accept the fast? Also, when performing kaffarrah are the 60 days consecutive? If feeding the poor, can it be 60 people at one time?.
Praise be to Allah.Firstly: 
Whoever has intercourse 
    with his wife during the day in Ramadaan has sinned and must offer 
    expiation, which is to free a slave. If that is not possible then he must 
    fast for two consecutive months. If he cannot fast, then he must feed sixty 
    poor persons. It is not permissible for him to feed poor persons if he is 
    able to fast. 
The evidence that it is 
    obligatory to offer expiation for having intercourse during the day in 
    Ramadaan is the report narrated by al-Bukhaari (1963) from Abu Hurayrah (may 
    Allaah be pleased with him) who said: “Whilst we were sitting with the 
    Prophet (peace and blessings of Allaah be upon him), a man came to him and 
    said: ‘O Messenger of Allaah, I am doomed!’ He said, ‘What happened to you?’ 
    He said: ‘I had intercourse with my wife whilst I was fasting.’ The 
    Messenger of Allaah (peace and blessings of Allaah be upon him) asked: 
    ‘Could you find a slave you could set free?’ He said, ‘No.’ He asked, ‘Are 
    you able to fast for two consecutive months?’ He said, ‘No.’ He asked, ‘Can 
    you feed sixty poor persons?’…” 
This hadeeth indicates that 
    the fast of two months must be consecutive, because the Prophet  (peace 
    and blessings of Allaah be upon him) said: “Are you able to fast for two 
    consecutive months?” 
If a person begins to fast, 
    then Ramadaan comes, he should fast Ramadaan, then break his fast for Eid, 
    then complete the fast of two months, and not start fasting again from the 
    beginning, because the Ramadaan fast does not affect the continuity of his 
    fast. 
Ibn Qudaamah (may Allaah 
    have mercy on him) said: If a person begins to fast in expiation for zihaar 
    [a jaahili and haraam form of divorce] at the beginning of Sha’baan, he 
    should break his fast on the day of [Eid] al-Fitr and then carry on. The 
    same applies to one who begins [such a fast] at the beginning of 
    Dhu’l-Hijjah; he should break his fast on the Day of Sacrifice [Eid al-Adha] 
    and the days of al-Tashreeq, and then continue on the basis of his previous 
    fasts. 
To sum up: If the fast in 
    expiation for zihaar is interrupted by a day on which his expiatory fast is 
    not valid, such as if he begins fasting at the beginning of Sha’baan then is 
    interrupted by Ramadaan and the day of al-Fitr, or he begins in Dhu’l-Hijjah 
    then is interrupted by the day of sacrifice and the days of al-Tashreeq, 
    then the continuity is not affected by that, and he should carry on from 
    where he left off, on the basis of the fasts he has already completed. End 
    quote from al-Mughni (8/29). 
Secondly: 
It is not essential to feed 
    the sixty poor persons in one go; rather he may feed one group, then feed 
    another group, at different times, until he has fed sixty. For more 
    information please see the answer to question no. 
    1672. 
And Allaah knows best.