Do not replace detergent with hand soap, dish soap, or a homemade mix without documented compatibility with the machine and the clothes. Just because a product cleans one surface does not show how to dose it in a wash.
The need changes the decision
If you run out of detergent, postpone the laundry until you have an approved formula instead of inventing a dose of another cleaner. If you are trying to remove odor, look into dirt, load, and drying. If the problem is roughness, check for residue before adding substances.
Vinegar and baking soda have different compositions, but knowing the ingredient does not determine the right concentration, the effect on finishes, or compatibility with seals and circuits. The fizz from a combination also does not prove cleaning or disinfecting.
Checking additives without assuming equivalence
Only add an additive when the applicable instructions cover that product and use. Do not mix formulas, do not use dish cleaners as laundry detergent, and do not add amounts just to see how much foam they make. Equipment that requires low foam needs that compatibility from the start.
Chlorinated products require specific precautions: do not combine vinegar, acids, ammonia, or other cleaners with laundry bleach or chlorine bleach. Do not try to neutralize a mistake by adding another substance.
Going back to the cause of the result
A measured dose lets you evaluate the wash better than repeated mixtures. For persistent odor, check when it appears and whether it is also present in the empty machine. Adding fragrance or changing the acidity of the laundry does not confirm that the cause has been solved.
To fix odor, roughness, or dirt, review the relevant cause; replacing detergent with a mix does not provide a reliable check.