1044-R Received for my parent's trust

My parents had a "Revocable Living Trust" (done in the 90s).  Dad passed away in 2011 and Mom passed away in 2018.  This year I was finally able to cash out an annuity associated with my Mom that was (unfortunately) not in the trust.  I received a 1044-R and need to file taxes on it ($10,000+).  Their trust has its own EIN number associated with it.  I am trying to figure out how to complete the taxes.  I don't want it going towards me since the money was sent directly to the trust.  I am the only successor trustee as well.  Who do I list in the "name" portion of the form?  I am planning on using the tax ID associated with the trust.