After/during torturing the Longbottoms we know they were captured. Was it an auror raid, how many? who?
Moody was at Karkaroff's retrial and we know he captured him but he wasn't present at the LeStranges & Crouch Jr's trial, or at least he wasn't mentioned when Harry looked around the court in the pensieve, that to me suggests he wasn't involved.
How do you see them being caught given we know Bellatrix is one scary lady and Crouch Jr was able to subdue Moody?

 

With the cunning use of two eggs, a tube of toothpaste, a copy of Bathilda Bagshot's "A History Of Magic", and a silver spoon.

 

Point of correction - an older and more ruthless Crouch Jr was able to subdue an older, more beat up, retired Moody.

 

Point of correction - we don't know that Crouch Jr ever confronted Moody directly. It seems equally like that he took him by surprise. We know, after all, that it happened during the night.

 

Point of correction - we don't know that Crouch Jr. never confronted Moody directly. It seems equally unlikely that a paranoid as fuck Moody, who had his trash-bins jinxed to make a racket in case of intruders would have just gotten clobbered over the head with a stick.

 

The list of things we don't know didn't happen in HP is infinite. It doesn't mean you can assume them all.

And anyway, in the case of Moody, the entire irony was that the most paranoid man was the one who turned out to have been taken by surprise, thus proving the importance of his dictum while also demonstrating its limits.

 

Fanon and canon is getting mixed up in my head, but wasn't Wormtail with Crouch when they subdued Moody?

If true, then it was at least a two on one.

 

Can't recall exactly but it rings a bell so it's probably right. It doesn't really change much in terms of whether they beat him in a duel or caught him by surprise though.

 

It was Wormtail and Crouch vs Moody in Goblet of Fire, yes. (The relevant lines are a few pages prior to the end of Chapter 35: Veritaserum.) Even then, it is mentioned that Moody did put up a struggle that led to Mr. Weasley having to go round, though Crouch Jr. did have enough time to gulp the Polyjuice and fit the leg and eye.

Crouch was probably somewhat weakened, and Wormtail never seemed like the most competent of wizards, so it'd make sense for them to use the element of surprise. Consider Wormtail is an Animagus, which would allow for relatively easy reconnaissance, and that two-on-one has advantages. In addition, we don't know how long Moody has been retired, but said retirement was probably detrimental to his fighting skills even in a prepared situation. Moody is taken out rather quickly in the DoM as well.

As for the title question: IIRC all we know is that they were captured shortly after the attack on the Longbottoms, no other details. The how probably involves numerical superiority, but that's pure speculation.

 

I am of the oppinion that it was something like they showed up and tortured the parents until help arrived to break up the party, rescuing Neville from some hidey-hole at that time too. In fact, I think they may have attacked November firstish, during the the boy who lived celebrations, might have been why they were able to torture them for such a long amount of time; why the tortures were so desperate to keep torturing, the grief still fresh.

 

I've always assumed that the Order captured them in the act of torturing the Longbottom family. Otherwise, we should assume Neville would be dead. Presumably they sent out a distress signal with their Order communication device or they failed to show up for a meeting and the Order went to check on them.

 

For all know, Neville could be with his grandma or other member of family when Longbottoms were captured.

How were Lestranges&Barty apprehended? They probably forgot to hide their location by proper spells or they used some standard Death Eaters' hiding place about which someone already informed authorities and was put under observation. Bunch of aurors and possibly some people from other magical law enforcement agencies apparated and started throwing stunning spells around. Just like we've seen in GoF, when someone put Dark Mark on a sky.

 

I always thought that after the Potters were killed Dumbledore checked up on the Longbottoms, found the Lestranges and Crouch Junior torturing them and from there things go something like they do after his arrival at the DoM.

 

Obviously Molly Weasley was part of the team that took them down and this is the real reason she goes in for a grudge match against Belatrix in the final battle.

In all seriousness though, Belatrix is shown dueling three people at once after spending a decade in Azkaban. How was she subdued when she was in her prime? Ambush? Lucky shot? Evidence for Dumbledore being directly involved?

 

IIRC the Longbottoms were attacked months after the war ended.

Those three people were Hermione, Luna, and Ginny, not exactly the most experienced duellists. She is probably very skilled, but not anywhere near Dumbledore/Voldemort level, and would probably lose to three average aurors.

 

I think they just went nuts. I'm not really sure if they put up a huge fight. They probably got so caught up in torturing the Longbottoms that they were ambushed. They probably felt like there was nothing left for them if they couldn't find Voldemort

 

Going to have to agree with the above.

 

Alice and Frank were able to get a distress message out to the aurors before the fighting started. Bella, the Lestrange brothers, and Crouch jr were able to overpower the Longbottoms after they were able to hide Neville. They were tortured into insanity and the aurors showed up just before the group left. The aurors were able to overwhelm the group with superior numbers leading to their capture.

 

I never understood why they didn't Fidelius the Longbottoms.

 

When they got nothing from Longbottom they probably grew more desperate. Bellatrix is insane and she adores Voldemort she would attack even Dumbledore himself to find out something about her master.