In a small bowl, make the flaxseed-eggs: combine the flaxseed meal with 6 tablespoons of lukewarm water; let rest for 10 minutes.
Let’s start preparing the dough: In a small bowl, warm milk to 110°F (43°C), add the active dry yeast, 1 teaspoon of granulated sugar, and whisk it well. Let it rest for 10 minutes or until bubbly.
Transfer the yeast and milk to a large bowl, add the remaining sugar, the flaxseed-eggs, vegetable oil, and mix well until combined. While mixing, add bread flour and knead the dough for 10 minutes to develop the gluten – either on an electric mixer or by hand works well. Expect a slightly sticky, stretchy bread dough.
Transfer the dough to a lightly oiled large bowl, lightly brush the surface of the dough ball with oil, cover with a clean, dry kitchen towel or plastic wrap, and let the dough double its volume, about one hour and a half.
Let’s prepare the filling: Mix the light brown sugar with ground cinnamon in a medium-sized bowl. Line a 13x9 inch (35x22 cm) baking pan with parchment paper.
Cut a 19 x 12 inches (48 x 30cm) of plastic film and place it on a flat surface. After the dough doubles its size, transfer it to the plastic film and roll it out to a 19 x 12 inches (48 x 30cm) rectangle – this makes it easier to roll it out because the dough is slightly sticky. Brush it with melted vegan butter or margarine. Evenly sprinkle the sugar and cinnamon mixture over the dough. Evenly spread the chopped pecan over the cinnamon and sugar mixture. Roll the dough up starting from the 19-inch (48cm) side. Using your fingers, press the seams to the roll to seal, and roll it to have the seam in the bottom. Using a serrated knife, cut it into 8 same-size slices. Place the rolls on the parchment paper-lined baking pan, leaving 1 inch (2cm) between them. Cover the baking pan with plastic wrap, and let the rolls rise for 45 minutes.
Preheat oven to 350F (180C).
Remove plastic wrap and bake the rolls for 20 minutes or until they brown along the edges or on top. Remove from oven and let them cool for 20 minutes.
While the rolls are cooling down, prepare the icing. Whisk together all the icing ingredients until smooth and creamy. Using the whisker, spread it over the rolls.