Egypt, despite having 20 million more people than Turkey has an economy less than one third the size of Turkey's. This alone is a major weakness for Egypt, however, it gets much worse. Egypt's entire arsenal of vehicles and weapons is a mess. A combination of American, French, Russian, Chinese and other equipment. This wouldn't be a problem in the 1950s, however, in today's world interoperability between military equipment is essential. Particularly in the air force. Having a combination of western and eastern vehicles means there will be problems with training, friend or foe identification and data sharing. Essentially meaning that the Egyptian military is unable to work as one whole cohesive force.
This whole mess is a result of an even bigger issue. The Egyptian military is funded by the oil-rich Gulf Arab states. To the Saudi's and the UAE, Egypt is a large and loyal ally which could aid them with their regional designs. While the KSA and UAE are much richer and could just expand their own militaries, Egypt's large Arab population and access to the Mediterranean mean it is a very attractive alternative. For this reason, they have pumped billions into Egypt for new military procurements. Meaning that the Egyptian military essentially serves as a huge mercenary force for the Gulf States.
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Egypt's military isn't only a mess on the hardware side. It also has a personnel problem. Don't let its 910,000 strong military fool you. This largely conscripted force isn't comparable to Israeli or Turkish conscripted forces. Most men don't see combat, let alone fire a single bullet for training purposes. Instead, they run errands for their commanders, sweep the floors and cook.
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All in all the Turkish Armed Forces is miles above Egypt's military. It is a serious force. Highly mobile, experienced and fully confident with acting on its own; Egypt would make a big mistake if it chose to fight Turkey in Libya. If Egypt does indeed enter Libya it'll likely be their biggest mistake since fighting Israel decades prior. However, it appears as if Egypt may be stepping away from their bold statements only days after making them. Indicating that Sisi's threats were empty from the start.
https://www.***********************...turkey-out-of-libya-but-is-that-even-possible
Some interesting quotes from the source in the opening post.