All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
Our advice to you is to not give your child a compound name but to name him Yusuf or ‘Abdur-Rahmaan, or any other good name. There is no doubt that the name ‘Abdur-Rahmaan is better because the Prophet said: “The most beloved names to Allah are ‘Abdullah and ‘Abdur-Rahmaan.” [Ahmad and At-Tirmithi]
A Muslim should not be named “Yusuf Rahmaan” because this implies that “Rahmaan” is an attribute of Yusuf, and it is known that Ar-Rahmaan is a name and attribute that is exclusive to Allah, The Exalted, as stated by the scholars.
For more benefit on good names, please refer to Fataawa 82724, 87262, 88553, and 87596.
Allah Knows best.