Add plastic screen into your kitchen sink strainer. It will trap virtually everything. The holes in basket strainers are too large and the fit of the basked varies in tolerances which allows more stuff to bypass.Of course this is probably unecessary if you are on community septic and water .
Since i dont have public water or septic Ive had to take extra precautions in preventing all tiny food scraps going down the kitchen sink. I used to have to unclog my drain every year because the sink would back up every dec.. When i would buy sink baskets they all varied in snugness of fit into the sink.(BTW My only choices are what walmart or HDepot sells) The baskets just were not fit close enough to my sink dementions and would allow small garbage pieces to bypass the basket strainer . I inserted a plastic screen ,i cut out ,to fit the inside of the strainer. It has worked perfectly. i havent had to unclog my sink now for 2 years instead of every 1 yr.
Bathroom Tub
In the tub,I had to add an extra screen over the tub drain.Its not the perfect set up like my kitchen sink,. but its all I can do with the current design of the tub drain. Id like to change it to the basket design ,like the kitchen ,but it doesnt look very easy to do on the tub.