How to move forward after cheating on someone?

Problem/Goal: Exactly the title. I've been doing my best to be a better partner. I've changed for the better but nabbring up pa din yung past. I understand that I'm in no position to be upset na nabbring up pa yung dati kasi ako yung nakasakit. If you had a similar experience, how did you guys get past it? I'm hoping to hear from both parties. Thank you po.

Context: Early in our relationship, my bf and I had an issue with me talking to a workmate who allegedly had a crush on me. He made it clear that he didn't like this guy but the foolish younger version of myself thought it was okay to interact as long as I didn't feel any attraction kay workmate. The conversation wasn't flirty. I made sure to mention that I have a bf but it apparently didn't matter kasi as long as you respond when they try to engage, you're still being disrespectful na sa partner mo. I completely understand the sentiment and narealize ko na ayoko din naman na gawin nya yun sa iba.

Yung issue is very hard and heavy sa kanya kasi he's been cheated on dati. Worse yung nangyare dati but he promised himself na hindi na sya magtotolerate ng any form of cheating pero he's trying to come into terms with it kasi we both want to make this relationship work. I appreciate him very much for that.

Previous attempt: I asked him what would make him feel better but hindi nya din daw alam. I always try to hear him out pag nabbring up nya and ina-acknowledge yung pagkakamali ko without trying to defend myself. Sinasabi nya lang dapat di ko ginawa but hindi ko na kasi maa-undo yung nangyare. :(

Edit: Thank you to everyone who read everything and shared their insights. I will no longer be engaging and reading the comments. I will instead focus my efforts on being a better partner. We already had a conversation about this and we both want to make this work. I am very lucky to have this man in my life. God bless po sa lahat.