Would anyone know what trains are available from the airport to the Antocha Train Station?
Madrid's commuter trains, known as Cercanías Madrid.
Specifically Lines C1 and C10 go from the airport to Atocha and leave from Terminal 4. I am assuming that Antocha is a typo.
The easiest way to get there is to go outside T2 (Terminal 2) at the airport and take a bus #203 "Estacion Atocha". It'll take you all the way to Estación De Atocha in 37 minutes (4 stops).
Otherwise, you'll have to haul your luggage onto another train when making a connection.
How do you know that the OP is arriving at T2?
there's an express version of the bus that has more storage space and only two stops