Preheat oven to 350°F. Line a baking sheet with parchment paper and lightly spray with nonstick cooking spray and set aside.
In a mixing bowl, whisk together flour, oats, brown sugar, cinnamon, baking powder, baking soda and salt.
In a small bowl, combine egg replacer mixture (or the 2 eggs), maple syrup, oil, melted byeer and vanilla. Whisk until well combined.
Add the wet ingredients to dry ingredients along with the dried apricots and cranberries. Mix until the dough just comes together. This is a wet dough, so lightly flour your hands to handle it.
Transfer the dough to the prepared baking sheet and shape it into a 12"x4" log.
Bake for 20~24 minutes or until the log is golden brown and firm to touch. The log will spread out quite a bit after baking. Remove the baking sheet from the oven and let cool for about 10 minutes or until cool enough to handle.
Using a sharp serrated knife, slice the log into 1/3" wide slices on the diagonal. Place the slices on their sides and bake for 12~15 minutes or until dry and crisp.
Let the biscotti sit on the baking sheet for 5 minutes before transferring them onto cooling rack to cool completely. Serve with the yogurt dip. Biscotti will keep well for 1 week in an airtight container.