E.J.
You sound pretty codependent. Especially with your last statement “I love him more then anything in life”.
What I don’t understand is if you and your husband have children together, or are they your 4 children from another relationship and his 2 children from another relationship? The parentage will influence the solution. I don’t see any statement of ‘our’ children.
Since this is a re-occurring event for each holiday and milestone......flip your script.
Talk to your husband before hand about your plans with him.
Then let him make plans with his daughter (with or without you is fine).
Stay out of their communication.
Invite her to your event. Let it go if she declines.
Follow through, without her, with the initial plans you made and enjoy.
Very concerning that he lies to you.
Additional:
You also don’t state how long you’ve been married.
It’s ok to have separate celebrations.