What is the correct manner of making dua in the last days of Ramadan? Should we ask for forgiveness/repent (istighfaar) a lot or ask that Allah gives us something that we want in the worldly life, specifically removal of some harm or trouble, or that Allah makes us away from it, or should we combine between the two (ie. istighfaar and requesting things)?
Combine both, asking for forgiveness and repenting and asking for all of what you need in this life. Asking Allah your needs is worship.
Of course our aim in these nights is to ask for Allah’s forgiveness. Sometimes the hardship and pain we face are due to our disobedience, so if Allah forgives us then He will lift or remove this harm or hardship.
The best supplication in these nights is:
اللهم انك عفو تحب العفو فاعفو عني
Allah you are The All-Forgiving and you love to forgive so forgive me.