A professor didn't write a letter of rec... am I doomed?

Hi! I was reading a lot of past forums, and I had a few questions:
firstly, I did an internship with an environmentalist, where I co-wrote a published research paper. A lot of it was hands on and I did it over school breaks (winter, spring, summer). I read on the forums that if my supervisor doesn’t submit a letter of rec, my accomplishment will be seen as fake.

I did not know this, and I already had the max number of recs for each school (from college counselor and school teachers) as the common application has a limit, and I know a lot of my schools recommend NOT submitting rec letters beyond the limit, so I couldn’t submit the additional rec. My outside-of-school college counselor told me that it should be fine, as long as I provide the link to my abstract and a brief summary (100 words) about what I personally did as an intern and how I contributed (which I submitted as “supplementary materials”).

Do you really think that college admissions officers will see this and deem it fake?

Couldn’t they look your name up and find the paper?

@bodangles Yes my name and everything is there. They can search it and I provided the link to my work with my name, but I was told it will look like I kind of “leached” off the professor if he didn’t write a letter himself… is that true? If you search my name (I did this on private browser to test it out) and add “environment” after, you will see it is like the 6th choice (my name is fairly common cuz im asian so a lot of the first results are either FB links or not me)

I wouldn’t worry about it. You provided info about what you did, no reason for them to be suspicious about that really.

Far too late to wonder about this now. Decisions are out for most schools in the next few days.

@Lindagaf I know I was just wondering