hi That sounds about right to me - except I dont put fruit, teabags or cardboard in mine. I do put some shredded paper in but make sure its well mixed in or it clumps.
I have a plastic bin and a wooden one I do turn them and if it turns very cold I cover them with old carpeting to keep the heat in.

The following will give you lovely compost, all veg waste, toilet roll tubes, Teabags, other brown cardboard in small quantites,[ non coloured], egg shells, general garden waste, leaves, i prefer to keep the grass cuttings seperate i leave the bin open with some old cardboard on the top, before long you will have plenty of tiger worms in there.For ericacious compost, i have a seperate bin, this i mix with all the dead brown conifer clippings and fallen pine needles, i mix in with leaves and add water from time to time if the weather is very dry, this compost bin is always left open to the elements, this compost is used for working in round the base of All the ericacious family with good effect.

I use tea bags too but find the bags don't decompose. Don't use potato peelings either as they could cause disease in potatoes you are growing. I've got an old plastic dustbin with holes in the bottom and it makes great compost. I do turn it a couple of times during the summer by putting it in the wheelbarrow and giving it a good mix.

Unless your tea bags are organic the actual bag is not now made of paper so they do not decompose properly. We never put cardboard, egg shells, citrus fruit skins, seed heads on weeds or perennial weed roots. Our motto is if in doubt it goes into the brown bin for composting by the council at extremely high temperatures.

The books say add egg shells and tea bags but mine have just reappeared in the compost at the end so they don't go in any more. You might try adding the occasional layer of soil every so often to add more organisms.(cheaper than garotta) Don't over water it or it might go smelly and slimy. The odd jug of urine rather than water wouldn't come amiss. Its difficult to turn in the council plastic bins but you can use something like a broom handle to poke some holes in it to let the air in.

As MG says, non-organic tea bags don't break down and so i always empty the contents only into the bin. Also, it seems that worms do not like onions/leeks so they don't go in either and neither do citrus fruits for the same reason. Crushed eggshells go in the beds.
Making compost is so satisfying and the end result seems miraculous!

Making compost is a learning curve... even when you think you know what works mother nature can side swipe you. Only needs the temperature to drop on the compost doesn't do so well. I remember someone used to added shredded woollens and I do mean wool and said it worked a treat, we never tried. Though we got an organic ericaceous compost mix tub given to us a Gardening Scotland made from the unusable bits of sheep fleece and bracken and that was fab stuff!