Dear Devesh Chandra, as you said, it's nearly impossible to remove dodecane and hexadecane using a Rotavapor. The bopiling points of the hydrocarbon solvents are 216 °C and 287 °C, respectively, at normal pressure. Thus you need at least the vacuum of an oil pump to distill off these solvents. The higher the vacuum, the better!
There are too many details that we do not know. Of course as Frank Edelmann wrote, you need much higher vacuum to remove these solvents by distillation, even on a rotovap. The scale you're working on makes a difference too. There is a device similar in function to a rotovap, but based on a centrifuge and using a high vacuum. Depending on your product, you might separate the solvents on a phase separating cartridge, either normal or reversed phase (a mini-chromatography). Again a wipe film evaporator might also work if your material is compatible with the technique.
Dear Devesh Chandra, I fully agree with William Harter in that the work-up procedure also depends on the nature of your product. If it precipitated from your reaction mixture, you could also remove the high-boiling hydrocarbon solvent by washing the crude product with pentane or low-boiling petroleum ether.