Whatever is displayed on the visible axes, each chart has two invisible axes; their units are called "GraphUnits", in contrast to "Axis units" on the visible axes. The "graph units" axes are an x axis and a y axis, just like on good old graph paper. Using AutoscaleAxisTransforms you define the unit range for each of the two axis; if there are several AutoScaleAxisTransforms for the same axis their graph units are just added.
Suppose you want to have two "real" vertical axes, one on the left, the other one at the right of the chart. At first you have to decide whether the series assign to the left and the right axis are allowed to overlap, and to which degree.
Suppose, you want to restrict the series of the left axis to the lower half, that on the right axis to the upper half of the chart. Then you must divide the GraphUnits into two equal parts. Maybe allow the AutoScaleAxistranform assigned to the left axis range between 0 and 5, and that of the right axis between 5 and 10. Now when you plot, the series attached to left axis is automatically in the lower haft, the other one in the upper half of the chart.
If, on the other hand, you allow both series to overlap over the entire chart then give both AutoScaleTransforms equal min and max values, say from 0 to 10 (or 1, or whatever...).
The next decision is how you want the "real" labels on both axes. Normally they are determined automatically such that the series expand over the range allowed for them by the AutoscaleTransform and are continued into the adjacent part reserved for the other axis. You can restrict this by defining the Range of the axis. So, if you specify the Axis.Range to be between -10 and 10, labels will only be drawn between these limits. If the corresponding series has larger values, this part will be unabelled.
I hope you did catch the point. Maybe you should have a look at the
Multiple panes in one chart tutorial which covers exactly this stuff. Or look at the examples in (lazarus)\components\tachart\demo\panes and ...\panes-2
If you'd still be stuck you should upload a short example (please, not the full project, only pas, lfm, lpi and lpr files packed into a single zip file). Then I could give you more specific advice.