Just citing reasons isn't enough — you also need to appeal to their emotions.
Tips
usage
Almost always paired with 晓之以理 (to enlighten with reason) as a two-part formula: 动之以情,晓之以理 = "move them with feeling, reason with them logically." Core persuasion strategy in Chinese rhetoric.
grammar
Classical pattern 动 + 之 (object pronoun: "them") + 以 ("with; by") + 情 ("emotion"). Literally "move them by means of feeling."