The ESP-01 only has two available GPIO pins, and Edgent requires two pins, one for the button to clear the credentials and the other for the indicator LED.
This leaves you with zero GPIOs to control external devices with.
That means you probably have to use a regular Blynk sketch rather than Edgent, or use a board with more GPIO pins broken-out to physical pins, such as the NodeMCU or ESP32.
There could be a number of reasons why this is happening, but without seeing the .ino file from your sketch, along with your serial monitor output, it’s difficult to say what’s happening.
More info on possible causes here…
Pete.