Dear Amir yousaf, there is plenty of literature, see the attachment, for more on the extraction or sample preparation of phenolics see the link 

https://www.researchgate.net/profile/Muhammad_Mushtaq8 

The polarities of those compounds are generally very different. Carotenoids are very non-polar while many phenolic compounds are quite polar.

I'd suggest 2 extractions. The first uses dichloromethane (DCM) and it extracts the carotenes and non-polar phenolics such as tocopherols (if they exist in this plant/ plant part). The second extraction is in methanol and this extracts more polar phenolic compounds.

I'd try wide-polarity range chromatography on a flash C18 column to separate the polar and non-polar compounds from the DCM extract (water to MeOH to 100% DCM). I'd use non-aqueous C18 HPLC (MeOH/DCM gradient) to evaluate the carotenes @ 450 nm.

for the methanol extract, I'd try SAX ion exchange flash chromatography followed by regular C18 HPLC to evaluate the phenolics.

Some references:

Wide Polarity range:

http://www.teledyneisco.com/en-us/liquidChromatography/Chromatography%20Documents/Application%20Notes/Wide%20Polarity%20Range%20Chromatography%20App%20Note.pdf#search=wide%20polarity%20range

http://www.teledyneisco.com/en-us/liquidChromatography/Chromatography%20Documents/Posters/Wide%20Polarity%20Range%20Flash%20Purifications%20Poster.pdf#search=wide%20polarity%20range

Non-aqueous reverse phase:

http://www.teledyneisco.com/en-us/liquidChromatography/Chromatography%20Documents/Posters/Facile%20Isolation%20of%20Carotenoid%20Antioxidants%20from%20Solanum%20Iycopersicum%20Poster.pdf#search=non%2Daqueous

Phenolic ion exchange:

http://www.teledyneisco.com/en-us/liquidChromatography/Chromatography%20Documents/Posters/Purification%20of%20Phenolic%20Flavonoids%20with%20FC%20Poster.pdf#search=SAX

http://www.teledyneisco.com/en-us/liquidChromatography/Chromatography%20Documents/Application%20Notes/Hints%20for%20Strong%20Ion%20Exchange%20Resins%20App%20Note.pdf#search=non%2Daqueous

You can use MPLC followed by C18 HPLC