The issue I have is my Westinghouse WGen9500DF, DF5300S or similar, portable generator is delivered with a push-button start. The EG4 series inverters have a dry contact, relay contact that is closed when it is calling for generator control, and open when it is finished charging. Because the Westinghouse, and I'm pretty sure some other generators have a momentary, push-button start, they start when the inverter contact closes, but then continues to run when the contact opens. The generator sees this as a single push.
The ESPHome/ESP32 project applies push-button logic, and does the button pushing for you. It even has a feedback that senses that the generator started successfully.
The second half of this video shows how you can attach Amphenol connectors to the EG4 Chargeverters supplied cables, for a seamless connection and install.

The code for the ESPHome can be downloaded from my website. This code does NOT have a counter, but does have a 60 second retry loop. If you can add a counter to only retry 3 times before giving up, that would be great. If the generator does not start for some reason, it will try every 60 seconds until the inverter stops calling for charge, or you interrupt the program.

ESPHome Code: https://supranut.com/eg4/ESPGenerator...
ESPHome project Photo (Full-Res):
ESP32: https://a.co/d/fQCPHBF
Hydraulic Crimping Tool: https://a.co/d/iQ7GcnH
3.3VDC Relay: https://a.co/d/fGFGXXt
5VDC relay: https://a.co/d/6OAWy1M
ESP32 DIN Rail mount: https://a.co/d/bn8QT60
5VDC Supply DIN mount: https://a.co/d/fGFGXXt

Signature Solar:
Chargeverter-GC: https://signaturesolar.com/eg4-charge...
Battery Connector-Orange: https://signaturesolar.com/eg4-powerp...
Battery Connector-Black: https://signaturesolar.com/eg4-powerp...