Did ALLAH Curse in Quran? Did Allah authorize AhleBayt of Rasoolallah (saww) to invoke curse of Allah on liars?

that verse 3:61 is not talking about AHLEBAYT it is talking about ESSA creation , and in all the examples you quoted the word translated as CURSE in Arabic means "to condemn \ be cast-out of mercy of God in the day of judgment". It has no relation to "cursing" or using swear words as is in the English language. It simply means in the Hereafter those who the verses mention wont receive the mercy of God.