That's a pretty good / accurate chart - for the Odd Gen characters the pics are shown in order of Good care (Mametchi) progressing through each down to Worst care (Masktchi) - same goes for the Even Gens - Mimitchi is for best care down to Gozarutchi for worst care.
To get Mametchi in odd gens or Mimitchi in even gens you must take very good care - you really need to get your training points up as high as possible - ideally to fill the training points before the teen evolution stage is finished. Try not to miss when the tama beeps for attention.
You also need to try to keep the Happy and Hungry Hearts full all the time. Try not to let the hearts empty at all - or maybe just one empty heart - but not left empty for too long - not empty for longer than around 15 mins. Keep an eye on how much they weight - you need to keep the good care characters close to their ideal weight - Mimitchi & Mametchi should both be around 50-60g - not lower, not too much higher.
This site is good - the Tamaplus guide / training information gives you some good examples of how to get different characters: http://www.peppersou...re/tamaplus.php
Check the character guide - but also the Raising Guide & info about the hidden parameters - it gives useful info on how you can play certain games to increase certain levels which will help you get particular characters.
Good Luck - the V1 is still one of my favorite tamas