yes, the ELCA was created 15-20 years ago by joining 3 similar groups, the American Lutheran Church, the Lutheran Church in America and the American Evangelical Lutheran Church. and despite the "Evangelical" in it's name, a previous poster is correct. The churches I've attended and been a member of try to be welcoming, not judgmental, and help people learn more about God wherever they are in their faith journey. Not in your face about it. the ELCA is a traditional mainline denomination. Fairly liberal, we ordain women.
Lutheran Church - Missouri Synod in general is much more conservative in their beliefs, both socially and in how they interpret the bible. to what extent is like in every denomination, a lot depends on the individual congregation.
there are a couple of other Lutheran organizations that I don't know as much about, Wisconsin Synod is one.
best of luck to the OP and DH in finding a place they are both comfortable.