Ah, Ok. First, since you're new. Go read my unit guide in the Strategy Section. It's not too far down the list. I call it UNIT FAQ [Completed]. It has a full list of counters and a lot of info for how units should be used.
Don't worry about the disconnects. They happen all the time with ICO. Best advice is to restart sins after every online game. It's the only thing I've seen that works. Restarting your comp helps too with the RAM. You get rid of any clutter programs running the background that might eat RAM. Then again, you might have a kick ass comp and this doesn't apply to you.
To answer your specific question though, you were TEC going up against a fleet of Flak and Illums. This is a very tough and ingenious fleet. Flak are tough and kill fighters, so carriers are out of the quesiton. Scouts are an option, but you need time to build them. They CAN do it. Ideally, you send a ludicrous (100+) amount of scouts after the Illums, knock 'em out, and then build light frigs to knock out the flak that's left over. You need ideally three scouts per Illuminator. You can get away with 5 scouts per every 2 Illums, but your pushing your luck there.
Ideally, against a fleet that is Flak and Illum, the best TEC answer if HC's.
I have not watched your replay. I have no luck with those files. I will tell you that if you like TEC, the LRM will lose to Illuminators, but scouts won't. Cobalts are good against flak and carriers. As TEC, if you have a lul where you can get HC's out in decent numbers (say 8+) and get at least one hoshiko per every HC, you're golden. I tend to get 2 per every three HC.
Problem is Hoshikos suck at targeting units that ACTUALLY need health. With fewer targets in the form of HC's, they do their job MUCH better.
Be careful though. HC's take a decent economy to get going. I advise 4 planets minimum for them, 6 preferably.
Oh, and +karma is appreciated!