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Did you try to efile the two returns at the same time, or did you efile the Federal return separately by itself before you attempted to efile the MN return?    If you efiled the Federal return by itself first, you cannot efile the MN return until the Federal return has been accepted by the IRS.    If that's your situation, be aware that the IRS opens up to process most efiled returns on January 27.    The IRS pulls a few Federal returns for processing prior to that date for testing purposes.