rookie needs help

OK I need help, obviously. I took these pic's today at my son's baseball game. I had my canon rebel with a 70-300mm sigma lens set in TV mode 1/2000, iso 100. It was full sun and yet the pictures are too dark. What did I do wrong, or better yet what should I have used for the settings. should I have been in AV mode? go easy on a rookie.

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The EXIF info says you have an exposure compensation of -2/3 stop set, so the camera will be trying to underexpose the shot. The camera has selected an aperture of f/5.6, if that is the maximum aperture of your lens (I guess it probably is) then the camera may also have indicated that it could not achieve a wide enough aperture to correctly expose the shot given the 1/2000th shutter speed.

When you half press the shutter release, the aperture (in Tv mode) will flash if it is reached the maximum and the shot still can't be correctly exposed. If this happens you should alter the settings (higher ISO or slower shutter speed) to correct it.

Tv vs Av mode is entirely personal preference. In either mode it is always worth looking at the other setting to see what the camera is doing and whether you agree with it.

(Edited to add: just noticed this is your first post, welcome to POTN!)

According to the EXIF data you have your exposure bias set to -2/3 so it's no wonder the images are underexposed. Make sure the little exposure bias needle is in the center and give it another go.

Edit - arg, too slow.

I suspect that it isn't the exposure compensation, those images look more than 2/3 stop underexposed.

Going by the sunny 16 rule (it looks sunny in the pics) using 1/2000 second with 100 ISO would need an aperture of f3.5 which would suggest that the result at f5.6 is 1 1/3 stops underexposed, which seems about right.

So, either the lens just couldn't open up enough (max aperture at f5.6) or you suffered a combination of faulty metering and the exposure compensation.

This could explain the first shot as the silver helmet seems to be reflecting a lot of light which could have caused your meter to underexpose a little, add that to the EC of -2/3 and that could be the problem.

The second shot doesn't seem to have such a bright reflection, although the white shirt may have been an issue it seems to have come out quite dark itself, suggesting that it isn't the cause. However, that shot isn't quite as dark as the first, so may have been mailnly the EC.

If it is down to the lens being wide open at f5.6, but you want a fast shutter speed then you need to raise ISO a couple of stops to 400.

Thank you for the help.
It make senses now.

Also, the camera focused on the grass behind the players in the second shot.