I’m a Florida alum, and would say “How 'bout them Gators?” but I would be really surprised if the original in this fight wasn’t “Dawgs” - referencing our once bitter rivals.
In my social circles it’s “What about the Kurds?”
Example.
*Person A: “Star Wars is the best sci-fi movie series ever.”
Person B:“No. I think you mean Star Trek.”
Person A: “No. I actually mean Star Wars!”
Person B: “Star Trek!”
Person A: “Star Wars!”
Person B: “Star Trek!”
Person A: “Star Wars!”
Person C: “What about them Kurds?”
Persons A+B: “Eh? WTF are you on about?”
Persons A+B: "Now, what were we arguing about again?*
I hear their performance of late has been adequate.
As a Ga Tech alumnus, the answer is “Dawgs”, followed by a resounding “Piss on em”.
But I am really surprised that no one has answered “Apples”
Amen!
If we’re talking computers, I believe Georgia was saying “How 'bout them Dawgs!” a good decade before Apple saw the first customer. I could be wrong there.
Quid sentis de Elusores?
Count me in. I’ll play.
What?
And the correct answer is: Cowboys!!
I’m too lazy to look up “Think Blue” in Latin. 
Growing up I heard it as “How 'bout them Dodgers?”. This was in Wisconsin in the 70s, by the way, nowhere near Brooklyn or LA.
The saying changed forever in 1987:
“Those aren’t pillows! See that Bears game last week?”
Asimovian knows. 
It’s “How 'bout them Dodgers?” in Latin.
Thanks. I even tried to locate “Elusores” with a Yahoo! search and only got Spanish looking things.
Can you date the Dodgers thing?
When was “Rally Monkey” a big thing?
Hittites. An inside joke in our Synod. But we will sometimes in moments of exasperation look at each other and say “How bout dem Hittites!”
One of our past bishops wanted everyone to be more sensitive about ethnic jokes and things like that so he seriously suggested substituting “Hittite” for “Insert some ethnic minority here”. He then promptly gave as an example “There were these two Hittites name Stash and Joe --------”
I don’t think any of us there at the time ever fully recovered.
Lakers. There are no other sports teams of note. Anywhere.*
I am always amused by those parts of the country where the local college teams are A Big Deal. Really? College? Doesn’t it make sense to root for a, I dunno, professional team instead of a bunch of teenagers that you know aren’t going to be on the team two years from now?
*I understand that Boston also has a basketball team. Their name is Not Mentioned without spitting on the ground afterward.
Around here, Buckeyes.
Cubs.
Got it from a FoxTrot comic.
The sad part is that the college player is likely to be on the same team longer than the pro who is going to chase the money no matter what uniform it requires wearing. Which leads to a whole, lengthy discussion about the kind of money professional athletes make and the business of sports and how we–
Er, how 'bout them Dodgers!
This.
For those of us who made it past high school, it makes more sense. 
Also, rooting for a professional team is like rooting for a corporation.
GO COCA-COLA! BEAT PEPSI!!!
2-4-6-8, WHAT DO WE APPRECIATE! MARKET SHARE! MARKET SHARE! GOOOOOOO, GOOGLE!
I don’t know… doesn’t really do much for me.
I live near Kansas City, and I used to have a boss who would change the subject quickly with, “How about those Royals?” Back in the mid-1990s, we had a guy visiting from our London office for a few weeks. One evening, we were having dinner with him and he asked a question about a bug in our software, and my boss tossed out his usual, “How about those Royals?”
The British guy threw down his napkin and said, “I have had enough of you Yanks casting aspersion upon our monarchy! Even though Charles and Diana are having problems, you should not be discussing them so!”
My boss had almost no clue why he was getting yelled at, and it took us a while to convince our guest that the “Royals” were our local baseball team. My boss took him to a game the next weekend.