You can try to get your tax account transcripts, particular your wage and income transcripts. That should list each 1099-R individually. Transcripts should go back 10 years.
https://www.irs.gov/individuals/get-transcript
If your 1099-Rs are not in your transcripts, then there is no other way to get the information from the IRS or Turbotax. You would have to contact the individual payers.