I am not entirely sure how to ask my question so I am just going to state facts and hope all is well.
I was married to a member of the church of Jesus Christ of Latter-day saints. When we lost our three month old son in January of 2015, I became Catholic after a year of serious soul searching. I grew up Jewish and so my first experience with Jesus was in the LDS (Mormon) church. So naturally, I was incredibly confused. Our marriage was never blessed by the church and so our children and marriage were not valid in the eyes of the church and God. Fast forward to January of this year (2018) I fled domestic violence with my children back to my home state. I met a wonderful man who I plan on marring in a Catholic Mass, he is not Catholic but is Christian non-denominational. If he adopts my children, will they be considered legitimate because I have a recognized Catholic wedding?