Choose the correct options for the given blanks.
The teacher must ________ the unique style of a leaner in order to ________ it to desired knowledge.

From the context of the sentence, it means that a teacher must recognize a student's unique learning style in order to lead it in the desired direction.

"perpetuate" means to "continue" and "absorb" means to "take in". Both these do not fit with the sentence. Thus, options B and D are rejected.

Among A and C, "appreciate" is a better choice for the sentence as it goes well with the tone. "Advocate" means to support and encourage, whereas "appreciate" means to recognise. Thus, it is a better choice.

Hence, the answer is option C.