I don't know how to do that without the additional information extracted from the BodePlot. Perhaps you could export ticks, plotRange, axesOrigin to a file. You can import it and the x, y values and recreate the plot.
The idea is that in this case of importing we can't use ticks, plotrange, axes origin because we do not know the expression of the function h like when we exported (because when we exported we knew the expression of the function h). In this case, when we import, in principle the expression of the function h is not known by us, we only have that excel with the points for the x-axis and the y-axis and we know that it is a Bode diagram, and we need to plot those points, and finally to look like a Bode plot these points plotted on plot (meaning, Magnitude Plot (FirstGraphPlot) to have on y axis dB, and on x axis Log10 scale, and Phase Plot (SecondGraphPlot) to have on y axis degree, and on x axis Log10 scale).
We import because we do not know the function h from the beginning, and we want to reconstruct the Bode diagram corresponding to the function h with those points given in excel, so we can't use ticks, plotrange, axes origin, since we only have that excel with those points and nothing else. Those points from excel file they can come from a simulation for example, in which we do not have the mathematical expression of the simulation result at least at the beginning.
In this case we know the expression of the function h (because it's just an example now), but in general we don't know the expression of h when importing.
Since the other software you are working with can export to Excel, maybe you could import data exported from the other software into Mathematica rather than the other way around? That might be a better option.
Well, also in the case of other software when I export a plot, then the export will also be in the form of an excel file (or something like this) with the points for the x-axis and y-axis (as above example FirstGraphPlot.xlsx). So, even if I export the graph from another software, in Mathematica I still have to import an excel file, so I will still have some points to plot. The problem in Mathematica is how with those points and using ListLinePlot or other functions I can reconstruct the Bode diagram. The problem in Mathematica is related to the x-axis, which must be specified in the plot as a logarithmic axis. As far as I saw, when I plot in Mathematica with ListLinePlot, the x-axis is a linear axis, and I don't know how it can be changed to a logarithmic axis (Log10). In other software (eg Mathcad), I have an option where I can specify whether the x-axis/y-axis is logarithmic or linear, regardless of the x-axis point values ​​I provide (as long as those points are positive, sub-unit or super-unit (it doesn't matter this thing))