How do you wire brown black and blue to black yellow and blue?

I assume you are asking about matching up the colors. The only to know for certain is to trace the wires or test them for currant.

Typically in a ceiling fan or exhaust fan the black, yellow, and blue are black=fan, blue=lighting, and yellow=neutral. Typically brown, black, and blue are all used as hot wires or switched wires. The brown or the blue could be standing in for neutral so, again, the only way to tell and be certain is to test each lead with an electrical tester.

In electronics, these colors could be anything.

Normally when you have these combinations there are special plugs at each end of each set but I assume they are missing so you may have to contact the manufacturer or call an electrician.

Hope this helps.
Gibbous