I believe that if someone else would be doing the giving, you would need the appropriate personal ending on the short infinitive, e.g. "gerçekten vermen istiyorum" with the -n for "you" on "give" for "I want you to give".
Did we have this lesson somewhere? I've been seeing it frequently lately but don't recall seeing an explanation. Firstly re using accusative for infinitives, and secondly for the apparent consonant transformation from k to y (instead of ğ). Can you point me to something?