Preheat the oven to 375˚F/190˚C with the rack in the center. Line a baking sheet with parchmnet paper.
Whisk the aquafaba until it's frothy in a medium mixing bowl. Add milk, oils, maple syrup, orange zest, orange juice, and vanilla to the aquafaba and whisk to incorporate.
Stir together flours, baking powder, salt, and cinnamon in a separate bowl. Dump the dry mixture into wet mixture and stir together with a rubber spatula until the dough comes together in a ball and is soft to the touch. Set the dough aside.
Remove the stems from the dried figs and process them with orange juice in a food processor until they form a thick sticky paste. Add more juice if needed to get the right thick and spreadable consistency. Set the filling aside.
Divide the dough in half and starting with one half, roll it out into a long rectangle about 1/4" thick. Roll dough between two pieces of parchment or wax paper to keep the dough from sticking to your rolling pin.
Spread half of the fig filling onto the dough in one long strip down the center. Use the paper to help you roll the dough around the filling so that it forms a log, seam side down. Tuck ends of the log under and pinch to seal in filling. Carefully transfer the cookie log onto the prepared sheet pan.
Repeat with the remaining half of dough and filling to form a second log.
Bake the fig rolls for 20 minutes until crust turns slightly golden and is cooked through.
Cool the fig cookie logs for 10 minutes before cutting them into 2-inch long bars with a serrated knife.