Preheat your oven to 350ºF.
Cover two cookie sheets with a layer of aluminum foil, then top with a layer of parchment paper (the two layers are helpful because this gets messy). Spread out the matzah in a single layer on the cookie sheets, breaking matzah sheets if necessary to fit them all.
Once your oven is preheated, combine the non-dairy butter and brown sugar in a saucepan on the stove over medium heat. Stir the mixture continuously until it boils, and then continue stirring for another 2-3 minutes, until the mixture is thickened and starts to pull away from the sides of the pan.
Working quickly, carefully pour the mixture over the matzah sheets, using a spatula to distribute it evenly. Place the cookie sheets in the oven.
Bake for 10-15 minutes, watching closely to ensure the matzah does not burn. Remove the cookie sheets from the oven and sprinkle with the chocolate chips. Allow the chocolate to sit for about 5 minutes, so that it melts fully.
Use a spatula to spread the melted chocolate into a smooth layer. You can either leave the matzah as it is, or add additional toppings (such as coarse sea salt, peanut butter, sliced almonds, etc.). If you are adding other toppings, you should do so right away, before the chocolate has hardened.
Place the cookie sheets in the freezer for at least 30 minutes so that the chocolate (and other toppings, if using) hardens completely. You can also allow the topping to harden in the fridge or at room temperature.
Use your hands to break up the matzah into smaller pieces, or (for a neater look) use a sharp knife to cut each matzah into squares. Serve cold.