I've heard that Briley does make the chokes for Browning - but I don't know for sure OneOunce....
Brownings first screw in chokes were the "Invector" in the mid 70's I think - then they went to "Invector Plus" around 1990. It wasn't long after that - I started seeing the "back boring" in the Browning marketing literature. There is a difference in length on the 2 Browning choke systems / and they are not interchangeable. But the nice thing about Browning's "Invector Plus" - is all of their Invector Plus chokes ( flush, extended, Midas, Diana, etc ) will fit in any Browning (of the same gague ) with the Invector Plus system in it.
I find it convenient - because in 12ga Browning's - I have two XT's, two XS-Skeet and a BT-100 ( and I can carry a box with one set of Invector Plus chokes in it - and fit all 5 guns). A few of my older Brownings have the old Invector system - but again, at least they fit all the guns in one gague. Its especially important when the boys are home -- and there are 5 or 6 guns going to the range - to make sure I have all the chokes I need without it being a huge hassle.
I'm no expert on Beretta - but I do recall they had a number of different chokes / different thread patterns on their chokes - with Optima being one of them. On Benelli, a subsidiary of Beretta, my Benelli SuperSport has one Crio choke system in it (that gun is about 5 yrs old now ) - but a couple of years ago, they changed the locations on the threads at least on the SuperSport models - so my chokes won't fit the new Benelli SuperSport.
Its especially aggravating - since I own 2 SuperSports in 12ga / and the chokes are not interchangeable ...so I have to be really careful which box of chokes I grab before I head out ( or travel, and I only take one set of chokes in my bag ). It would be nice to have all the same chokes fit the guns - at least from a "thread" standpoint.
Its kind of like when I go to the club ( now this has probably never happened to you ... but ).... I was originally going to take the 12ga Benelli because it looked like rain .... and packed 12ga shells. About an hour later, it cleared up - so I grabbed my 28ga O/U and put the 12ga back in my safe.... The problem was, I never remembered to pack the 28ga shells ....and 45 miles down the road, when I got to the club and opened the tail gate ....you realize you screwed up .....and I had to pay $ 16 a box for 28ga shells to shoot that day .....