I look for someone who's pages are really popping out of the gallery, and I agree on the photo thing. Learning to fix your levels, crop your photos, and saturate or desaturate as needed can really make a difference. From a CT perspective its important that the photos are "pretty"... because that can make or break a layout.
Also, I'm looking for someone that is consistent, and that has at somepoint scrapped with my product (scrappers that just see a call ad and look at my store for the very first time when they are applying is a turn off to me).
If you are really interested in teams, look at your gallery and look at for example a sugar babe's gallery and then think, what do they do that I don't? Not because your style is bad and theirs is good, but because IMO the best way to get better at your craft is to study and learn from others. I love to scrap lift sometimes for that very reason, it is cool way to try a new technique or a different type of element placement than you usually use.
I think focusing a little on basic design concepts (rule of thirds, clustering, repetition... ect) can be really helpful too. I know i've googled and read some of that stuff and its helpful... you don't have to have a college degree in graphic arts to apply some of the tried and true design concepts to your layouts.
all in all the way someone scraps is the number one reason i pick people. but if i am undecided or trying to narrow it down, then things like how many teams you are on, or how many times you scrap a week, or like how you seem to interact with others in the chatter forum. There are some things that no matter how well you scrap are a definite no from me like if you never use my product, or if you only seem to post negative things on the forums, and ...
...i hope this doesn't sound mean, but another issue is you mainly scrap your pet... pet layouts are just not my bag. The occasional pet page here or there is cute and fun, but if you don't have any kids and only have pages about your doggie in your gallery maybe you should start taking pictures of your friends, your friends kids, your family members, even like, flowers and butterflies and stuff.... i don't know... just if you want to be on a ct, you want to look at your pages from a "will this sell this kit" perspective, and our main market is people that want to scrap their families, so if you don't have any kids, find some kids to photograph (only don't like go to the park and take pictures of strangers kids... people tend to frown on that for some reason

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ok i just wrote an essay, but I hope this can help you some.
the number one thing to remember is that not making it on a team doesn't mean you aren't an amazing scrapper... scrapping is SO subjective - like la said, she is my wifey, and we don't always agree on layouts... sometimes a page I am in awe of, she is looking at cockeyed LOL - so perhaps the problem has nothing to do with how you scrap, but instead with the designers subjective opinion
hugs! good for you for making this a chance to learn and grow... your scrapping will only get better and better, and in the end, what matters the most is that you are making layouts YOU love and can be proud of, if so, that will show and you'll find the perfect designer fit!