Module that can both detect Voltage (12V) and Control current
You don't need another module to detect voltage on an Arduino.  The UNO, which I assume you are using, has 6 analog inputs (A0-A5) that can directly read voltage.  The only problem is that you want to measure a voltage up to 12V and the Arduino can only handle 5V.  So the solution is to DIVIDE that using two resistors in a voltage-divider configuration so that you only see 5V at the Arduino when there is 12V on the signal.
From here: https://www.electroniclinic.com/what-is-a-voltage-divider-or-potential-divider-formula-and-practical-uses/
you can see how to make one:

As far as controlling a &quot;current&quot; that is usually done with a relay.  There are no on-board relays but there are the digital outputs that can drive a small relay or can be connected via some other circuitry like a couple of transistors to drive just about any size relay.