The first thing to know about biscuits is they're a quick bread, and shouldn't be messed with too much. Once you've mixed the wet and dry, there shouldn't be a lot of fiddling around with them.
1. Heat oven to 450 degrees F. In a bowl, mix flour, baking powder, and salt in a bowl. Cut in shortening. Once you've got nice, relatively consistent crumbs of shortening and flour mix, pour in your soymilk just until wet and dry ingredients are combined. Don't overmix!
(to cut in shortening: spoon the vegetable shortening into the flour mix as you use two butter knives in a scissor motion to break it up and mix it. If you've done pie crusts it's the same thing. If you've never done it, no big deal, you'll get the hang of it. Just try to get it as small as you can, but don't work it too much.)
2. Roll dough on a lightly floured counter top to about an inch or so thick. Fold in half and roll again. (This will get the nice layered biscuit. Also, don't roll the dough out too thin. Tall biscuits with lots of layers, are the key, I think.)
3. Grab a biscuit/cookie cutter, or glass, and start cutting biscuits. For your extra dough, I roll it back into a ball, and start over. Roll it out to an inch or so, fold it over, and roll it out again. I use a spray on oil and a cookie sheet, and toss them in the oven.
4. Bake for 12 to 15 minutes, or until done.
Source of recipe: I veganized, and further modified my girlfriend's mom's biscuit recipe