The 25-year-old failed a drugs test towards the end of last season and was suspended by the club.
However, an FA disciplinary hearing earlier this month gave Livermore the green light to resume his career after hearing of how his baby son’s death had affected him.
Livermore played the first 68 minutes of the 1-0 Capital One Cup win over Swansea City, his first action since May 9.
On Twitter, Livermore said: “Can’t thanks the fans enough for the overwhelming support and reception I received last night.
“Also my team mates thank you for your support throughout. These words won’t explain the feeling but was great to be back in the shirt and play in front of my family and by that I mean each and every fan and friend who supported me through this as well. Great result too, onwards and upwards.”
Livermore was applauded warmly by the crowd both before Tuesday’s Cup tie and when substituted by Steve Bruce.