Thayer's Greek Lexicon concerning Acts 5:31:
6. δίδωμι is joined with nouns denoting an act or an effect
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b. the noun denotes something to be done by him to whom it is said to be given: διδόναι τίνι μετάνοιαν, to cause him to repent, Acts 5:31; Acts 11:18; γνῶσινσωτηρίας,Luke 1:77; ἐλπίδα τίνι, 2 Thessalonians 2:16.