Pseudo-random Number Generator

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In theory, you need to change your lfsr_out to the range of 0 to 1 (1 not included) and then scale it by (limit + 1). In your 8-bit case:

wire [15:0] temp = lfsr_out * 16'd201;

wire [7:0] result = temp [15:8];

lfsr_out is the output of your LFSR and result is what you are looking for.

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This way you'll get a non uniform distribution, namely some values would be much more frequent than others, expecially if LFSR output range is not a lot bigger than the desired range. Extending the LFSR length would help improving the distribution.