Hi @RTS and welcome to the forum!
Ribbons can receive MIDI control messages through an audio interface connected to a computer via USB.
You should be able to connect the Zoom U-44 directly to the MIDI input on Ribbons using a DIN MIDI to TRS adapter. A type A adapter is preferable. Here is a link to a forum post where you can find verified cable solutions.
I connect my Ribbons directly to the MIDI out on my MOTU M4 interface and control it with Ableton Live using the first adapter solution recommended in that thread. It works great.
Feel free to follow up if you have any additional questions. 