RM and Potawie are correct. Bottle distributors say to not even do a boiling water bath with plastic lids. They will melt, distort, etc. The typical process is to boil the empty bottles to sterilize the bottles, and then hot pack as described above and invert the bottles sterilized the inside of the lid. This is for a sauce with the proper pH. If it doesn't have a low enough pH, the sauce should be pressure canned in regular mason jars.
Side note on pressure canning-
Standards have changed for pressure canning since the depression days. My grandparents also did all their canning with the boiling water bath, including green beans and other veggies. It used to be standard process to boiling water bath (bwb) tomatoes, but not any more. University extension services now recommend pressure canning tomatoes. Heirloom variety tomatoes used to have a much higher natural acid content, but so many of the modern varieties have been bred to be low acid, and therefore a higher risk when canning in a bwb.