どんどん + [verb] どんどん + [i-adj 〜い → 〜く] + なる どんどん + [na-adj] + に + なる
どんどん says something keeps going, fast and without a pause: "more and more", "one after another". It is an adverb and goes before the verb, most often a verb of change such as なる, ふえる増える or あがる上がる.
A change that is still going on puts the verb in ている, てくる or ていく.
だんだん only goes with change. どんどん also goes with actions, as in the next section.
With a request or an invitation, どんどん tells someone not to hold back.
In katakana, どんどんドンドン is the sound of banging on a door or a drum.