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I figured out the problem. In sage spherical 3d plot, I had to give phi component first and theta component second. The syntax is exactly opposite of Mathematica syntax.

spherical_plot3d(1+2cos(2x),(y,0,2*pi),(x,0,pi),aspect_ratio=1).show()

This gave me the correct plot I wanted. image description

I hope this post will be helpful if anybody else also gets bugged by this reverse input format of spherical_plot3d function.

Thanks to everyone for answers they provided...