as far as I know, yes, match ticket is also valid for (regional) trains (RE, RB, S - bot not for fast trains like IC or ICE), bus, tram i
n the VRR-Fares Region /Rhine-Ruhr-Public Transport) . make that all over North-Rhine-Westphalia, sometimes they've got also some time restrictions like valid from four hours before kick off to 3 am next day or so- cannot tell if thats the case for Dortmund matches as well, though. The "valid for public transport - print" used to be on the ticket in recent years, but for Cologne matches you now have to extra register your ticket with a web-site, to get your personalised travel card )print at home or qr code) BVB
web-site says thats also the case with Dortmund print at home tickets (see link below)
https://kombiticket.dsw21.de/
choose "BVB Spiel"
enter the barcode of your ticket
klick "check" ("überprüfen")
enter your details (name, email etc)
klick "save" ("speichern") and you'll receive an email with your public transport ticket