Assalamu alaikum brothers and sisters
Here’s a video by Yaqeen Institute presenting Omar Suleiman on the days of shawwal and fasting. He answers some important questions.
Making up the missed fasts of Ramadan before fasting shawwal: Scholars (sheikhs) differ with opinion some state that the broken fasts from Ramadan have to be caught up first then followed by the six days of shawwal based on a hadith mentioned in this video, others say, and the majority say, based on another hadith mentioned in this video, that it’s ok to fast the six days of shawwal first to ensure you don’t miss it because they are in a specific time-frame, whereas the broken fasts from Ramadan can be made up any time of the year before the next Ramadan begins.
(EDIT: However, according to Islam QA to benefit from the reward of Shawwal, one must catch up with their Ramadan fasts first then follow them by the six days of Shawwal fast in accordance to an hadith)
Mixing intentions: You cannot mix the intention of fasting a voluntary fast with the intention of fasting a obligatory fast, however you can mix the intention of fasting an voluntary fast (ie shawwal) with another voluntary fast (ie fasting on a Monday or Thursday) so that you get the reward of both, in shaa Allah.
Fasting the month of shawwal is the reward of fasting for the entire year. Fasting the 13th, 14th and 15th of each month is the equivalent of fasting for your entire life. Alhamdulillah. The sooner you fast the days of shawwal after Ramadan and Eid is better so you don’t chance missing out on its reward.
Fasting on Mondays and Thursdays also gains reward as it was the sunnah of our beloved Prophet Muhammad (S.a.W).
It’s good after Ramadan to get into the habit of continuing these good deeds done during Ramadan, to fast the sunnah fasts; and to follow it up by all the good deeds you did during Ramadan on each day you fast, to get into the habit of doing righteousness- Qu’ran, give to charity, supplications for whatever you want in the dunya and akhirah, and remembering all of our brothers and sisters in your supplications who are suffering around the globe - Syria, Yemen, Afghanistan, Iraq, Kashmir, Palestine, Uyghurs, Rohingyas and all others, may Allah protect them and relieve their hardships. Ameen.
Allah is also more likely to answer the supplication of the fasting person, this is not limited to Ramadan. Alhamdulillah
Jazakallah khayrun for watching and may Allah give us knowledge of benefit and protect us from knowledge that doesn’t bring benefit to us in either life. May He purify our souls and protect us from evil of our ownselves and of others, and of the devils and shaytaan. Ameen. May He accept our efforts and write them among our book of good deeds on the Day we stand before Him and forgive us our sins and not to bring us to humiliation and to replace them with good deeds heaped up, to admit us into the highest Paradise (jannatul firdous) and protect us from jahannum even for a second. Ameen.