Generally speaking, no, you don't report the contributions or the earnings on your F1040.
Generally, your contributions should be tax deferred contributions withheld from your salary (reducing the amount of tax on your salary). Earnings are also tax deferred.
You would pay tax when you receive distributions received from the 403b plan.
See following links;
https://www.irs.gov/retirement-plans/irc-403b-tax-sheltered-annuity-plans
https://www.irs.gov/retirement-plans/retirement-plans-faqs-regarding-403b-tax-sheltered-annuity-plan...
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