For a while I was wiping my socks
although I had not been in a state of tahaarah when I put them on, because I did not know
about the ruling on this matter. What is the ruling concerning the prayers I offered
during that time?

Praise be to Allaah.

You must repeat and make up those prayers which you did when you were
wiping your socks although you had not been in a state of tahaarah when you put them on.