How and why does a temperature increase equal a reverse reaction when talking about equilibrium?

When we talk about reactions in equilibrium, you should be aware that temperature has an effect on them in two major ways. We all know that thermic reactions even when in equilibrium are of two types, exothermic and endothermic.

Endothermic reactions are those that are favoured with an increase in temperature from surrounding to the reacting system, so when such reactions are in a state of equilibrium, increase in temperature leads to the forward reaction, NOT the reverse.

On the other hand, exothermic reactions thrive well when the reacting system losses heat to the surrounding, so when in equilibrium, they tend to move to the reverse or backward reaction upon increase of heat.