If I have received no money from the sale of stocks within my "managed money" account, do I need to report the long and short term gains and losses?

Yes.

You are responsible for reporting the capital gains and losses resulting from all securities and mutual funds traded for your account, regardless of the disposition of the funds.

If you have a managed funds account in which the proceeds from sales are kept in the account and reinvested, the gains and losses are still reported by way of Form 1099-B and must be included on Schedule D (FORM 1040) for each tax year.