For a lab I took the pigment Lycopene and made it basic and then
acidic.  I looked at the absorpation spectrum for both the acidic
(HCL) and basic (NAOH)solution.  My results where 340 to 440 as the
the highest spectrum followed by 700 to 800 for both the acidic and
basic pigments.  The spectrum for lycopene is suppose to be 400 to
500.  My question is why and how did the spectrum change? Especially
in relation to its structure.

Pardon my basic chemistry (have given it all back to my lecturers 8-),

but Lycopene has so many double bonds that they would likely react
when there are free H+ and OH- around, i.e. the absorbtion of the
material would obviously be altered under either acidic or basic
conditions.

i.e. there would be logical structural modification (bonds changes) of
the molecules, these changes would affect the amount and wavelength of
light the molecules can absorb.

My best advice is to go look up some organic chemistry text on effects
of acids and bases on double bonds.  But for detailed spectrochemical
analysis, you might need more expert help.