Do Egyptians need visa for Northern Cyprus (TRNC) or Turkey?

For the TRNC, you don't need a visa for up to 90 days.

For Turkey: as in most places, you need no documentation other than an onward ticket if not leaving the airport's transit area.

If you need to leave the transit area, however (for example if you're on separate bookings with luggage to pick up and re-check), you need to buy either:

1. An e-visa to be presented with your passport and BRP card at Turkish border control.
2. A regular visa at the airport visa desk, for which you need both your passport and BRP card

Northern Cyprus has very relaxed visa regulations. For visits for up to 90 days, only citizens of Nigeria and Armenia need to apply for a visa prior to traveling.

Source: Website of MFA of TRNC

So, no, you don't need a visa. But keep in mind that,

Foreigners are required to have the following in their possessions at the port of entry to the TRNC:

• A valid passport
• £85 (Sterling Pounds) or equivalent per day the visitor intends to stay
• Round trip ticket
• Proof of confirmed hotel reservation
• For visiting family or friends, a letter of invitation which provides name, address, phone number and other contact information in full
• If traveling for higher education, an official acceptance letter from the university
• If traveling on a business trip, an official letter of invitation from a company in the TRNC