The correct option is
D making up
The phrase, 'making up' means 'inventing an explanation for something, especially in order to avoid being punished or embarrassed'. As this phrase conveys a clear meaning when used in the given sentence, option C is correct.
The phrase, 'make for' means 'to move towards a place'. Eg: She picked up the books and made for the library. 'Making for' is the present continuous form of this phrase.
The phrase, 'making out' means 'seeing or understanding someone or something with great difficulty'. Eg: Making out any word of this illegible handwriting is a challenge.
Given the meanings as above, the phrases given in options A and B cannot be used in the blank to form a meaningful sentence. Hence, these options are incorrect.
The phrase, 'make away with' means 'to escape with something that you have stolen'. However, the phrase, 'make with' conveys no meaning. Hence, option D is incorrect.