Yes. Original diagram by user @CAPPilot and edited further by me.
Can be different transformers.
Obviously base can be CAB1, CAB1L, or Legacy base. Single wire connection is just common to all outer rails.
If you want to run the TMCC engine from the DCS remote, then another cable is required that connects the serial port of the TIU to the serial port of the TMCC command base. MTH 50-1032 TIU/TMCC 6' Connector Cable
Again to be clear, you have a Lionel remote. I prefer to run Lionel engines with the Lionel remote.
You only need the special serial cable when you want to run a TMCC engine by using the DCS remote- this is how those commands arrive at the TMCC base and then are transmitted to the TMCC engine.