"Koymak" is slang in this context. It means here something like that "dert olmak" or "ağır gelmek"

With the wish that becoming a worry of my absence for people who doesn´t know (realize) my presence´s value.

(not sure) it is hard to translate for me.

for me too thankss

 You should ask lady in red. 

Combining my poor knowledge of both languages, I can offer this alternative translation

Wishing those who don´t know the value of my presence, to be (being?) troubled by my absence.

or maybe

Wishing those who don´t appreciate my presence, to be (being?) troubled by my absence.

As always, not sure if it is correct

 Thank you tomac. But wish is a noun not a verb in the Turkish sentence. Yours doesn´t seem literal but makes sence. Have a nice day.

 koymak is innocent here.