An HRA is a health reimbursement arrangement. It is an account that only the employer can contribute to. It's not your money and you can't withdraw cash except for medical expenses. The money was put in the account tax-free by your employer, since you never paid tax on the money, you can't take a deduction for expenses paid with the HRA. That would be double-dipping. You can't subtract an expense from your income because it was never in your income in the first place.
An HSA is a health savings account. You own the account, and can withdraw money at any time for any reason, although you will pay taxes and penalties if you don't use the money for medical expenses. Both you and your employer can contribute to the HSA, but only if you are enrolled in a qualifying health plan. You get a tax deduction for contributions you make. When you pay expenses from the HSA, you can't take a tax deduction again. Like with an HRA, you never paid tax on the money in the account, and if you pay an expense with never-taxed money, you can't also subtract that expense from your income. That would be double dipping.
Turbotax wants you to list all your medical expenses, then list any expenses reimbursed tax-free (from an HRA, HSA, or insurance) so that Turbotax can calculate if there is anything left over that is eligible for a schedule A tax deduction.
