First of all, the easiest way for you to identify is that you are able to see the welt stitched around the outsole of your shoes. It can be seen from the above and below. The stitching that is visible should be matching in terms of their stitching density. If both have same density, it’s more likely that your shoes are goodyear welted. Shoes that are hand-welted, may not have same stitch density.
But something to be careful is that. Some of the high-end shoes with leather outsoles, or with shoes or boots with certain types of outsoles, such as crepe soles can still be Goodyear welted with invisible stitching. So it is not 100% accurate all the time to guess if the shoes are goodyear welted by only looking at the outsole stitching.
Often, some manufacturers will use faux welt to make the shoes look like that the shoes are Goodyear welted. They will cement or glue two pre-stitched soles together to make the shoes looking like it’s Goodyear welted. Which is a very clever method. These types of shoes, the manufacturers will not say that the shoes are Goodyear welted. If they do, that’s false information that they are providing.
For fake welts, you can identify that the shoes with faux Goodyear welts have non-matching stitching top and bottom of the outsoles. This is a pretty clear giveaway when it comes to fake stitching because real Goodyear welt stitching will have matching stitch distance between the top and the bottom of the outsole just like the photo down below.