If we take Wish List Lady EWW sport horse as an example
Her remarks are + int - mv/hrt
wk4: 121222 wk5: 222222 wk7: 232222 wk8: 333333
Overall without any other info you need a stallion WWW, but with strengths to conteract her weakness.
The - mv/ hrt show that she is weak in Move and in Heart as shown in that training statistic at week 4 121222.
Being a sport horse you can match her with any breed (very handy as long as you don't mind ending up with an ISH foal).
So with this info you can go to the Search Horses screen and pop in your requirements.
At the most basic
Stallion, For Breeding, any breed, WWW
At the very bottom pick Sort by Price 'lowest to highest'.
A list of current available stallions will show.
You then have to visit the ones that appeal and check their training at wk 4, looking for ones with good strong Int and Strong heart.
The very first one, DSTel X Utopi 195
Is not bad at all. His comments show he is slightly weak on Move, but both Int+Hrt both up at week 4. Better still his progeny have good ratings and even better the breeding cost is zero, as long as you have a WWE combo mare to breed with him.
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To get your own comments on your foals you need to have riders on your foals and you have to train them each week & comment on the score after each weeks training.
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For other horses matching may need slightly different searches.
E.g. WRR Burnt Pie PEW.
Stallion, For Breeding, any breed, WWE+ or WE+W, and Minimum Breeding Rating PEW
At the very bottom pick Sort by Price 'lowest to highest'.
This will ensure that the stallion will be OK to breed with (often the minimum will be WEE or EEE which she does not match because of the first P).
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It takes at lot of experimentation. But be stubborn, if nothing much happens at first that is normal. Over a couple of months you sus out which are really dud mares and sell or or just use for showing.
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After a few weeks set yourself some goals and work towards them.
Setting some colour/ pattern goals is a good start.
I advise to mount with level 1+2+3 riders at first or the expense of the riders outweighs the prize money.
Have WWW at the back of your mind, but really don't expect this, or you will be endlessly disapointed.
Best of luck
ZeroZero