Its not a Hot Bath with woozy bottles. these are 2 separate processes with 2 different bottles, jars, caps, and lids.
Hot Fill Hold (,HFH) is putting heated (proper pH) sauce in woozy bottles, capping and INVERTING the bottle for a set amount of time to allow the heated sauce time of contact with the top of the neck and the cap. After about 5 minutes, the bottles are re-verted and stored upright.
Boiling Water Bath- is putting cooked sauce (proper pH) in mason/ball/etc CANNING jars, topped with the metal lid and metal ring. The jars are then put in a pot and brought to a full rolling boil for a set amount of time. Hence the name...Boiling Water Bath (BWB). BWB is pretty simple but not as simple as sticking jars in the stock pot and adding water. There sould be a rack on the bottom of the pot so the jars aren't sitting directly on the bottom, water must cover the jars, must be brought to a full rolling boil. There are (TONNES) of canning websites that give excellent tutorials.