Okay I'm assuming you have a double chainring. So what is happening?
On the bottom chainring the front mech has one position because if the chain goes any across towards the outside it'll clip the top chainring, a rather undesirable thing as the chain will be picked up by the top chainring. This is shown in the left diagram below.
On the top chainring there's no problem with clearing the bottom chainring, being smaller. Because of this a shifter can employ trim, this shifts the front mech a few mm towards the inside so it the chain can reach all sprockets on the rear cassette. This is shown on the right diagram, the blue rectangle shows the 'normal' position of the FD, but the green rectangle shows the mech trimmed to allow access to the low range of sprockets.
What this means is that when you change down to the bottom chainring the first click will only go into low range trim & it requires another click to move all the way to the lower chainring. If you're on a triple the same principle applies & you may have some trim on the middle chainring but if present not as much as the top chainring.
The way to adjust the tension is in low range trim let the chain pass the front mech to the lowest gear by 1-2mm, on a triple you want to use the chainring with the least clearance for the front mech. To move the mech further out you increase the tension, to move the mech further in release some tension. To me it sounds like you may not have enough tension & the front mech isn't far enough out in the low range trimmed position.