If I shun molasses and sugar, can I still copycat Outback Steakhouse's bread?
The taste will change. It will not taste sweet at all, so it wouldn't really be a copy cat recipe any more. It will rise slower. Yeast feeds on sugar, so if you omit the sugar it will only feed on the carbs from the flour and hence rise much slower. And it will likely be less dense. In my experience, adding molasses to a dough makes it denser. It may also become too dry. The molasses especially is a large enough ingredient that omitting it will affect the hydration level of the dough.