Generally there are two ways:
Playing ZYW's (these are very fast games)
or try to achieve ann insane Militaryscore by upgrading thousands of hulls to military vessels, and maybe put them under the MSBA.
There are numerous threads on these topics, just search around.
Judging from your MV profile, you played way too long into these games. From year 7 on there's not really much to gain anymore. Thus, you need to be fast, and this requires skill & methods.
Next, play on suicidal only. That difficulty has the greatest score-multiplier. In fact, some games on suicidal are even more easy than on obscene etc.
And, I see you play DL. That game is the hardest scorewise. Try DA, much more easy, and better conditions.
btw 30k score for a common warfight is a good score. And yes, big warships are best, but dont make the mistake of having one single tiny Fighter amongst them, this will take the Mil rating down. Actually, the 4 components that the overall score consists of are always visible within the game, it is the first 4 statistics in the "timeline" section, for Econ (income), Military, Population and Research output. The faster they rise and the higher they climb the better your score will be.
Try to max them and you'll see your score will rise.
Tip: Boost research very early and then change to an economical approach.
2 Tip: Play "very fast" technology speed only.
and have fun grinding them 
btw a "veteran" I'm not. Started playing MV just some months ago.