What should be done regarding prayers performed in ignorance of the invalidity of wiping over the leather socks?

If the situation is as described, then the scholarly disagreement applies to you concerning one who prayed while missing a condition, being ignorant of the ruling: is he obligated to repeat the prayer or not?

The view of the majority of scholars—which is the adopted fatwa on this website—is that repetition is obligatory. In this case, you should strive to be cautious and make up what you are certain will leave no outstanding obligation upon you thereafter.

Performing many prayers does not negate making up missed ones, but it alleviates the burden. You can make up what is not difficult for you daily.