Can you name the Product Code™?

Given the product codes of 10 fruits and vegetables in the chart below, can you figure out the product code of Broccoli?

$$\begin{gather} % custom template - reuse if you may \def\S#1#2{\Space{#1}{19px}{#2px}}\def\P#1{\V{#1em}}\def\V#1{\S{#1}{9}} \def\T{\color{black}{\textbf{Fruit / Vegetable}}}\def\NT{\color{black}{\textbf{ Product Code}^{™}}}\displaystyle \smash{\lower{29px}\bbox[#FFC6B6]{\phantom{\rlap{rubio.2020.01.21-custom}\S{28px}{0} \begin{array}{cc}\T&\NT\\\end{array}}}}\atop\def\V#1{\S{#1}{5}} \begin{array}{|c|c|}\hline\T&\NT\\\hline % ~\text{ Lemon }&\text{ CNL }\\ \hline ~\text{ Carrot }&\text{ DSB }\\ \hline ~\text{ Plum }&\text{ CAC }\\ \hline ~\text{ Tomato }&\text{ CME }\\ \hline ~\text{ Strawberry }&\text{ GAE }\\ \hline ~\text{ Pumpkin }&\text{ EOB }\\ \hline ~\text{ Granny Smith Apple }&\text{ KAT }\\ \hline ~\text{ Garlic }&\text{ DMJ }\\ \hline ~\text{ Pomegranate }&\text{ FME }\\ \hline ~\text{ Cucumber }&\text{ EST }\\ \hline ~\text{ Broccoli }&\text{ ??? }\\ \hline \end{array}\end{gather}$$

Text-only version:

Fruit / Vegetable    Product Code™
Lemon                CNL
Carrot               DSB
Plum                 CAC
Tomato               CME
Strawberry           GAE
Pumpkin              EOB
Granny Smith Apple   KAT
Garlic               DMJ
Pomegranate          FME
Cucumber             EST
Broccoli             ???


Hint:

All of to the information necessary can be found on Wikipedia.

Related questions:
Can you name the Country Code™? (@eyl327)
Can you name the Country Code™? (#2) (@eyl327)
Can you name the country code? (@kacase)

• is the product code for plum correct? – oAlt May 3 at 8:37
• @oAlt It could be argued that it is CAC or CSC. – DenverCoder1 May 3 at 8:38
• or even CIC or CEC, hehe – oAlt May 3 at 8:39

@Glorfindel found the first and last letters of the Product Code™, but sadly he did not notice that

The second letter of the Product Code™ is the last letter of the scientific name of the product :00

In the case of broccoli,

Its scientific name is Brassica oleracea, and notice that the last letter is A.

Therefore, we shall mark the broccoli with the Product Code™

EAT (hey, that's appropriate by the way, hehe).

However, don't forget to upvote @Glorfindel's answer as well, for he solved two thirds of the Product Code™ (with help from @El-Guest) :)

P.S.

For the count of consonants for the first letter, Y is not considered as a consonant.

P.P.S.

(Open image in new tab to enlarge, the quality isn't that good at first glance)

• Table coming up, for completeness LOL – oAlt May 3 at 8:45
• Nice, I was sure we were on the right track with the month names but that was just an amazing coincidence. – Glorfindel May 3 at 9:17

The first letter is

the number of consonants in the product, converted to A-Z. Broccoli has five of them, so it's an E.

The last letter is related to

the product's color; a broccoli is green, so it has the same letter as the cucumber and Granny Smith apple, T
(as @El-Guest notes in the comments, you need to take the first letter of the color, G, and rot13 it)

As for the second letter,

the values we see so far are A, M, N, O, S; those probably correspond to months of the year (April, May, November, October, September) but I don't see the connection.
National Pumpkin Day is on October 26th, so the O there fits, but International Carrot Day is April 4th, which is not an S.

• Try rot13-ing your final letter, Glorfindel! – El-Guest Apr 30 at 12:55
• The middle letters rot13(NYY ortva gur anzrf bs zbaguf bs gur lrne... V'ir pbafvqrerq uneirfg gvzrf, cynagvat gvzrf, naq gur yvxr ohg pna'g cva vg qbja cebcreyl. Vg frrzf gbb ovt n pbvapvqrapr gb vtaber! V qba'g xabj vs jungrire pevgrevba unf orra fryrpgrq vf gur fnzr va obgu urzvfcurerf...) – Stiv Apr 30 at 13:29
• @Stiv what a coincidence, I was just in the middle of writing that. – Glorfindel Apr 30 at 13:30
• Ha! I do wonder whether it will be hemisphere-specific though... Note also that you have two options for both A and M... – Stiv Apr 30 at 13:31
• @Stiv rot13(Uneirfg gvzrf zngpu sbe nyy gur irtrgnoyrf nffhzvat abegurea urzvfcurer. V unira'g orra noyr gb svaq bar fbhepr bs qngn juvpu yvfgf rkcyvpvg enatrf bs zbaguf gubhtu. Naq uneirfgvat qngr qbrf qrcraq ba gur pyvzngr pbaqvgvbaf.) – kacase Apr 30 at 14:20