EPRDF was originally an organization of irreligious left leaning politicians. More study needs to be conducted to understand the gradual control of EPRDF now Prosperity Party by Protestants & Pentecostals. What is now undeniable is that Ethiopian government is now controlled by Protestants & Pentecostals.
The term "Control" in politics and corporate world refers to the authority to make the decisions of a corporation / state regarding operations and strategic planning, including capital / wealth allocations, acquisitions and investments, top personnel decisions, and major marketing, production, and financial decisions.
"Control" is achieved when a group has, by definition, at least 50% voting power in the Cabinet of Ministers. In the current Ethiopian political setting, power is concentrated around the PM who is a Protestant / Pentecostal. On the top of that, the current Cabinet of Ministers is 52% Protestant.
Orthodox: 43.5% of the population while making up 22% of the cabinet
Muslim: 33.9% of the population while making up 26% of the cabinet
Protestant: 18.6% of the population while making up 52% of the cabinet
In the current cabinet, Orthodox + Muslim < Protestant; 22% + 26% = 48% < 52%
አዎ ሀገሪቱ በከፍተኛ ፕሮቴስታንታዊ ብልጽግና ላይ ናት።

Based on 2008 census
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