Why are you cutting the cables?
In any case, the lugs on the existing cable should have the size stamped on it. You may need to cut back the heat shrink and look closely for a mark. If you see something like 2-3 that is 2AWG with 3/8 inch bolt hole. Here is an example
It's the main battery cable, it came off the negative battery terminal, it fits a 3/8" stud and the cable, along with it's twin for the positive, lead into the engine harness.
Make sure you can replicate the crimp. You can create a lot of problems (now and down the road) if you cannot. Sometimes it is better to leave alone like the manufacturer did. Just sayn...
A 1 ft run doesn't get you very far. How can the motor connection be only 1 ft from the battery terminal? Is that cable the only one bolted to the battery terminal?
You did say the motor is a 150 horse didn't you?