To what extent is the following Hadith authentic: "If any of you prays Jummah, then let him pray four [rak'ahs] after it, but in his home, not in the mosque"?

The minimum Sunnah (supererogatory prayer) after Jumu'ah is two rak'ahs, and its most complete form is four rak'ahs. The detail of this is that if the worshiper prays it in the mosque, he prays four rak'ahs, and if he prays it in his home, he prays two rak'ahs; due to the action and command of the Prophet, peace and blessings be upon him.