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This is my friends guard list he's taking to a tournament. At our tournament scene there is lots of gun line armies so this counters them.

HQ
Command squad - in Vendetta
heavy flamer
3 flamers

Troops

Veteran squad - in Vendetta
3 meltaguns
demoltion squad

Platoon - behind defence line.
Platoon command squad - man quad gun
heavy flamer
3 flamers

Infantry squad
grenade launcher

Infantry squad
grenade launcher

heavy weapons squad
Mortars

Heavy weapons squad
mortars

Heavy weapons squad
mortars

Heavy weapons squad
mortars

1 vendetta - three lascannons

1 vendetta - three lascannons

The idea is the heavy weapons teams take out any infantry not in vehicles, the platoon command squad mans the quad gun while the infantry squads go to ground. The vendettas open up vehicles for the mortars. On turn 4 the vendettas go into hover and the squads do what they do best as well as clear enemies off/claim objectives and the infantry squads go and claim objectives.

Why the heavy flamers? They cost 4 times as much as a normal flamer with limited return in performance. Just take regular flamers here and spend the points on more bodies or guns.

He should swap the CCS with the PCS in the Vendetta that way he can keep the best orders with the bulk of his force and he has 2 scoring units in the air. A Regimental Standard would also be a good idea with the CCS or this army might have Leadership Issues.

So more like this?

HQ
Command squad - manning quad gun
4 flamers
Regimental standard
Vox caster

Troops

Veteran squad - in vendetta
3 meltaguns
demoltion squad

Platoon - behind defence line.
Platoon command squad - in vendetta
heavy flamer
3 flamers

Infantry squad
grenade launcher

Infantry squad
grenade launcher

heavy weapons squad
Mortars

Heavy weapons squad
mortars

Heavy weapons squad
mortars

Heavy weapons squad
mortars

1 vendetta - three lascannons

1 vendetta - three lascannons

BTW 1 man from each infantry squad is in base contact with the quad gun incase the CCS has to go to ground

The CCS can't have 4x Specials and the Standard.

Think about getting more long range stuff there doesn't seem like enough killing power but its looking not too bad

It looks a tad light overall on firepower. Mortars are okay, but there's other options. You've got two vendettas and a dedicated vets squad against vehicles. Thats reasonable but against heavy infantry you'd have an issue. Terminators and MEQs would shrug off everything you've got unless you intend to lascannon marines. If you're looking for something to go against gunlines, mortars are not the best. Yes with barrage you can get over cover but I would suggest getting a couple of manticores instead of the mortars. S10 and you can hurt vehicles as well. I'd probably loose the mortars and take 2 manticores, + another unit of guardsmen. It would also be advisable to give heavy weapons to your normal infantry squads and drop the grenade launchers for something more like flamers or meltaguns.
Also the vox on the CCS will do nought. It has to be on the units giving and receiving the orders, embarked units cannot recieve orders. Also loose the heavy flamer on the PCS, overpriced. I guess that unit is for late game objective clearing, but they're only 5 guys so could even be wiped out by overwatch. May want to reconsider them.
If you dont want to go with manticore and stick with the mortars, I'd at least give your CCS plasma so you have something to touch terminators. Any of those deepstrike in and they could scythe through the whole line

Moving your CCS out of the Vendetta is a good move; you don't want to drop them into enemy territory, since that's your Warlord. You'd just be handing over a victory point.

Your CCS is currently equipped illegally. Each model can take a special weapon or a vox or standard, not both. Given that CCS has the BS4 of a Veteran, I think the flamers are wasting their potential. Take advantage of their BS4.