Keep in mind that a 2x Barlow lens will increase your focal length by 2, and that represents a factor of 4 in exposure value. You will need to increase the camera gain by 6 dB (with ASI cameras, increase the gain by 60 units) or increase the exposure time by a factor of 4 compared to the same Jupiter image before you added the Barlow lens.
If you are familiar with photographic camera terms, that 2x in focal ratio represents 2 "f-stops." It is the usual inverse square law property.
Another thing to consider is the backfocus of the Barlow lens. Depending on the camera distance from the Barlow lens, it may be actually even be acting like an 8x. Which will affect your exposure time even more.
Even telecentric teleextenders like some of the Televue Powermate's magnification factor is dependent on back focus. Some Powermates have a fixed magnification, while other Powermates have magnifications that depends on the back focus -- so even lenses from the same manufacturer will behave differently.
Another factor is that unless the Barlow is parfocal with your camera, you will need to refocus after inserting the Barlow.
I recommend that you try it in the daytime, first without the Barlow. Get the best focus that you can, and note down the drawtube extension. Now insert the Barlow. Refocus and note down the change in the drawtube length. At the same time, check how much the magnification has changed (and you will also have to change the exposure time too). If the magnification is different from 2x, you need to change the spacing between the Barlow lens and the camera. Change that distance to get as close to 2x magnification as possible, since that is the design focal plane of the Barlow.
When you have it all set to 2x magnification, note the change in drawtube distance once more. You will need to apply this same drawtube change at night to get focus with the Barlow inserted.
Most Barlow are meant for eyepiece usage, and the cheap ones don't even have documentation on backfocus. If you get a PowerMate, it will come with a graph showing where to place a camera sensor for a desired magnification, like this:
The "focus position from top surface" axis is basically the back focus distance from their reference point. As seen above, a 5x PowerMate can be used from 5x to over 7.5x. While the 2x Powermate has a constant 2x magnification, no matter where you place the camera.
Chen