As you can see there are a lot of connecting flights via Domodedovo:
Varna --> Moscow (Domodedovo - DME)
Moscow (Domodedovo - DME) --> Sochi (Adler - AER)
This depends on the exact date of your flight.
Pay attention to which Moscow airport is the flight from Varna as there are 3 options - Sheremetyevo, Domodedovo and Vnukovo. All three have connection to both Varna and Sochi (Adler)
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