I am not a doctor but, according to my search engine (!) we have only one type of mitochondria but they can run on different fuels depending upon circumstances. It said:

Mitochondria do not specialize in burning either glucose or fatty acids, but instead can switch between the two fuels depending on the body's needs:

• Mitochondrial machinery - The machinery in mitochondria that burns carbon can switch between glucose and fat oxidation based on the body's nutritional and physiological needs.
• Phosphorylation - A reversible modification called phosphorylation can change the organization of the electron transport chain (ETC) to make it burn fatty acids more efficiently.
• Fuel adaptation - Mitochondria can adapt to use other fuel molecules, such as glucose, lactate, and ketone bodies, when needed.