Preheat the oven to 375º F (180º C). Line a rectangular pan of about 9.80 x 3.90 inches (25 x 10 cm) with parchment paper.
In a medium size bowl sift together the flour, baking soda, baking powder and salt. Plus, in a small bowl place the banana and mash it with a fork until you get a thick paste.
In a different big bowl, add in the oil along with the sugar, linseed "eegs", and vanilla extract. Mix with a whisk for 2 minutes until it is all well combined.
Add in the banana, vegetable milk and vegetable yogurt until integrated. Mix in the flour and beat for 1 minute until you get a smooth batter.
Pour the mixture in the pan and bake at 375º F (180º C) for about 50-55 minutes until a wooden stick come sout clean when inserted.
Once ready, let ir rest for 10 minutes in the pan. Then, turn it out and let it cool down completely in a cooling rack.