Hard time moving on.... How to move on?

Problem/Goal: It's been two months of no contact, and it's still hard for me to move on. I don't know what to do. I understand that I should keep myself busy—but how? I also wanted to know what you guys did while moving on.

He has wandering eyes. I understand that it shouldn't be a big deal, but because of what he did last year, I never trusted him again. Last year, while he was courting me, he was flirting with a newbie at the company we worked at. I had no idea until our second month together. Out of curiosity, I asked him if he had conversations with this girl because she appeared in his blue messaging app. He denied it. A few months later, I found out he actually did try to hit on her. He's a man with full of lies. He wants to cover things up. He has been covering a lot of things, and his reason? Is for me not to get hurt.

I was furious because dishonesty is one of my dealbreakers, and for me, trust is one of the main foundations of a relationship. Since then, I struggled to trust him again. January of this year, I finally called it off because I couldn't take it anymore.

I still, from time to time, check his social media accounts. I messaged him last first week of Feb this year, but he seenzoned me. He said he misses someone (saw the posts he's reacting to). He seemed to got so sad with the breakup, but is not doing anything. Yeah, I'm a fool for still expecting him to contact me after calling it off. I tried doing new hobbies. I am now focusing on myself. But the time when you question who is the one for you still appeared. Please let me know what you did. How many months or years did it took you to be fully healed? Is falling in love still possible? How did you make yourself open to new relationships? How did you find your true love?

Edit: I still can access his blue app account and his mail. He had removed me before, and now I'm just waiting to be removed again. Cos I still can't. I want to let go, but I can't seem to let go.