OneMind Dogs doesn't have a specific technique for just a pull through or threadle. You can cue the dog to come between two jumps with a variety of techniques depending on the situation. The things you need to consider are for example the angle of the jumps and where the next obstacle after the threadle sequence is.

You could use a False Turn, Japanese, Lap Turn, Double Lap Turn, Forced Front Cross etc. for different kinds of threadle situations.

In the False turn video you can see multiple straight threadles done by leading OneMind Dogs Coach Mikko Aaltonen at 0:40

In the no arms threadle and serp. challenge you can again see how we use our motion, position, eyes, chest and feet to cue the difference.

In the Japanese Epidemics you can see threadles done with a Japanese.

In the Lap Turn video you can see a threadle at: 0:32

So as you can see, we don't use the terms pull through or threadle to explain any one technique, but we can cue the dog to come between two jumps with a variety of techniques depending on the situation.

For push through and serpentine we use Running on the Dog's Line, you can see multiple push throughs in a row in the technique application video at 1:45.