Yes, you do need to report the proceeds of an expired options contract if you had proceeds from it.
Let's first address the Sold vs Expired condition.
If you purchased a contract and time ran out and the contract was out of the money. You would have gotten nothing and the contract "Expired".
If you purchased a contract and time ran out and the contract was in the money. You would have sold it for it's current value, or purchased the stock. This is not an "Expired" condition and you would have proceeds.
Now,
If you sell a contract you will receive "cash" in your account. If the contract expires, you can keep the money and show a profit.
In the case you presented. You sold a put for $0.05. It closed out of the money so you did not purchase the shares. You had a net profit of $0.05 per contract.
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