Exoteric refers to knowledge that is outside, and independent from, a person's experience and can be ascertained by anyone (related to common sense). The word is derived from the comparative form of Greek eksô, "from, out of, outside". It signifies anything which is public, without limits, or universal. It is distinguished from internal esoteric knowledge. "Exoteric" relates to external reality as opposed to a person's thoughts or feelings. It is knowledge that is public as opposed to secret or cabalistic. It is not required that exoteric knowledge come easily or automatically, but it should be referenceable or reproducible.
Lecture on Bhagavad Gita 4.24 – August 4, 1976, New Mayapur (French farm)
Yogeśvara: He says now, because we are not yet advanced enough to see Kṛṣṇa as the Supreme Person directly, how should we meditate upon him.
Prabhupāda: You do not see Kṛṣṇa is in the temple? (laughter) We are worshiping something vague? You have to see Kṛṣṇa as Kṛṣṇa says. In the present stage… Just like Kṛṣṇa says raso 'ham apsu kaunteya (BG 7.8). Kṛṣṇa says "I am the taste of the water." You see Kṛṣṇa in the taste of the water. That will make you advanced. According to different stages… Kṛṣṇa says "I am the taste of the water." So when you drink water, why don't you see Kṛṣṇa. "Oh, this taste is Kṛṣṇa." Raso 'ham apsu kaunteya prabhāsmi śaśi-sūryayoḥ. When you see the sunshine, moonshine. Kṛṣṇa says "I am the sunshine, I am the moonshine." So as soon as you see in the morning, sunshine, you see Kṛṣṇa.
As soon as you see at night moonshine, you see Kṛṣṇa praṇavaḥ sarva-vedeṣu any vedic mantra is chanted: om tad viṣṇu para, this omkara is Kṛṣṇa. "paurusam visnu" and anything extraordinary done by somebody, that is Kṛṣṇa. So you have to see Kṛṣṇa in this way. Then, gradually, you'll see; Kṛṣṇa will reveal Himself, you'll see. But there is no difference between realizing the taste of water as Kṛṣṇa and seeing Kṛṣṇa personally; there is no difference. So, according to your present position, you see Kṛṣṇa in that. Then you will gradually see Him. If you want to see immediately Kṛṣṇa's rasa lila that is not possible. You have to see (silence) Kṛṣṇa. As soon as there is heat, you have to know that there is fire. As soon as there is smoke, you have to know there is fire, even though you do not see directly fire. But we can understand, because the snow, eh, smoke is there, there must be fire. So, in this way, in the beginning, you have to realize Kṛṣṇa
Cāṇakya Paṇḍita says that if an honest person deals with a great cheater, it is necessary for him to become a cheater also, not for the purpose of cheating but to make his preaching successful. (Srila Prabhupada, Śrīmad-Bhāgavatam 7.5.7)