To connect multiple modules in Verilog, create a top-level module that instantiates each module and connects them using the "wire" keyword. The top-level module serves as a fourth module that links the outputs of the lower modules to their inputs. For example, one module's output can be wired to another's input, facilitating communication between them. When integrating outputs from multiple modules into an AND gate, declare wires for each output and connect them to the AND gate instance. The same method applies when linking multiple ALUs, ensuring careful management of carry signals.