Praise be to Allah.
We put this question to our shaykh, ‘Abd ar-Rahmaan al-Barraak (may Allah preserve him) and he replied:
Yes, it is recommended for you to offer ‘aqeeqah on his behalf, for that will be beneficial and will do no harm. It comes under the heading of your showing kindness to him, and perhaps it will be a cause of his becoming righteous.
For more information, please see the answer to question no. 228538
And Allah knows best.