Making is creating something anything even food dishes, cakes, meals etc.
Doing is when you are actually doing something like making a cake. But A NATIVE WOULD NEVER SAY "I am doing the cake making", like Valentin suggests. This is a very typical mistake heard constantly in the UK by indian speakers, but not all of them.
"I am making/baking a cake" I suggest you try to always say "I am baking a cake" because you are doing the bakeING.
"I do sleep" is only correct in some contexts but not this question. you do not do sleep-ING
"I do my homeworkS" is totally wrong. "I am doing my homework" is correct.
Making = the process of actually producing something.
Doing= the process that someone is actually engaged in (present tense doing. NOW )
"Dan Millan makers of delicate Spanish Figurines"
"Dan Millan producers of delicate Spanish Figurines"
For a business/ company or individual making.producing these things to sell.
Both sentences mean the same.