I’ve been through this and have been drawn into the whole defending my self thing. It’s just a big waste of time.
Remember this, they don’t want to know. Whatever you say, they will argue with and dismiss.
They don’t want the truth, they just want to WIN. That’s all that matters to them. Half the time, they don’t even believe their own lies. They just want to WIN (at everything, at anything).
Best advice, Respond, Don’t React. Never answer a contentious text straight away. Ignore the impulse to correct or defend. Just answer what needs answering ie contact arrangements, and just ignore the rest.
With my ex there’s an element of wanting the drama, the reaction, so I know total silence on my part winds him up. He just loves having an argument because he knows he will always win it. But that’s what happens when you make up facts as you go along - you can justify anything if the truth doesn’t matter.
So Respond, don’t React. He hasn’t listened to you in the past, he won’t start listening now. It’s that old saying, nothing changes if nothing changes.
It will be hard at first, very very hard. But its the only thing that will work. One day he will get the message and stop trying to wind you up. Think of him as a tramtrumming toddler trying to get your attention. Ignore, ignore, ignore.