Only large connector I can see is on the motor. Three of them. Banana plugs of some sort. They are going to be 4mm or 5mm I guess. You could measure them, or look in the specs.
Then to the battery. I can't see either. One is male, one female. I am guessing there the same as the motor, and a trial fit would tell you. With two motor wires left unconnected, take the third known size connector and see if it fits one of the battery wires.
Only when you know what they are can you move forward. Although I'm not starting to see wisdom in the advise to chop them off and start again. Then we would at least know what you have. If you can't tell though, I can't help. You need the project doing for you.
Where is your throttle?
Edit: Just reading the battery add should tell you the connectors used, like reading the motors add should tell you it's connectors. Your not being very helpful with a photo of them sat on the table. What are they. Get some links up if you can't read the adds yourself. Or make and model numbers. Something we can work with.