ANSWER:

Yes, you can combine both the intentions.

I have missed fast of ramadhan. Can i fast on the 9th & 10th and make the intention of making up the miased up fast of ramdhan as well?

Fasting | September 19, 2018 3:49 am
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I heard that fasting the day of ‘Ashoora’ expiates for the past year, is this true?   Does it expiate for everything, even major sins? What is the reason for venerating this day?