TW: Suicide. Yesterday my [21F] ex boyfriend [22M] killed himself. I want to reach out to his family. Please help.

Yesterday afternoon my ex Boyfriend, who we will call Gary, jumped in front of a train. I found out this morning (it's now 7:50am) from a close friend of his. The last time we spoke was on Saturday - he told me all about how he's planning a trip and about girl trouble he's having and how he was so looking forward to finishing uni this year. We broke up about a year ago. I am childfree and he wasn't. We were still friendly and had lots of overlap. It wasn't "weird". I have a new partner who Gary never met.
I would like advice on how to talk to his family. My own parents were quite abusive, but his made me feel like family. I had my own set of keys, I was there frequently, I'd cook and clean, go on family holidays and spent every holiday with his family. They have not announced a funeral as of yet. His parents wrote me a letter after our break up, thanking me for being part of their family and how much they will miss me.
I'd like to make something for them (I'm thinking a lasagna), and pick up some basic groceries and just leaving them at the door along with a card, then sending them a text letting them know it was me. I don't want to intrude.
Is this inappropriate? Should I reach out in a more direct way?
TL;DR: Ex killed himself. His family was the only real family I had. How can I offer support while respecting that they need space? I'd like to bake a lasagna and pick up some simple groceries and leave a card.


Source.

Call, offer condolences and tell them you're willing to be there for them in any way. Ask if they need anything, and then.....wait for them to answer. Don't be pushy, they probably aren't even thinking straight right now.

Making a lasagna and getting groceries and leaving it at the door is down right immature. If you do anything do it in person or make a phone call. I personally would attend the funeral and give my condolences at that time.