Hello again, thanks for the pictures.
What i see in the picture is the mounting plate of the new heating element, with the 4 bolts that hold it in place, and the control relay to the left of it.
Tell me please if those 4 bolts are the ones you had to remove to get the old heating element out.
In that case the two loose wires shown connect to the relay..... top two wires, black and red most likely...but we need to test that.
Using a volt meter check voltage between black and red on the relay with the thermostat on the water heater
set to ON and up high.... then check for voltage across black and red. You should get 240 volts if the heater is rated at 240 volts.
Then turn the thermostat OFF... the voltage across the top two red and black wires should drop to zero.
Let me know what you get, We can go from there. If you choose to rate my advice *positively I will hold the question open for any needed elaboration later.