Hi BluSdUp,
Re the meaning of the acronym CFM, as in CFM International, it seems to come from the name of the engine, which originated as the Snecma M56. SNECMA formed a partnership with General Electric to produce the engine. According to Flight International for
18NOV1971, the CFM56 moniker was a reference to the M56 and CF6 engines. GE used CF6 technology for its part in the CFM56 (HP compressor, HP turbine and combustor).