What do mitochondrial and thylakoid membrane have in common

Both of them use ATP synthase proteins in ATP production.

Explanation:

Mitochodrial and Thylakoid membranes both use adenosine triphosphate or ATP synthase proteins in ATP production.

Mitochondria are found in the living cells while Thylakoid membranes are found within chloroplasts that is in the plants. Both of these are responsible for the synthesis of energy that is in the form of adenosine triphosphate, which is widely known as ATP.

Mitochondrial and thylakoid membranes both use adenosine triphosphate or ATP synthase proteins in atp production.