Gears arent going and no acceleration and burning smell

You do not say whether it is auto or manual, but I assume manual, and by the sounds of it the clutch is slipping due to wear.

There is a test you can do. Start the engine, put it in 3rd gear, apply the foot brake, and let the clutch out. The engine should promptly stall, and if not, you need a replacement clutch.
.

Have you checked the transmission fluid level in park when the engine and transmission are warmed up? Is it full?
Does the fluid look red like it should or look dark brown and smell burned? If it looks and smells obviously burned, that is an indication of internal damage and it will need to be rebuilt.

Otherwise, there may be another problem with this specific transmission that I am unaware of.

1) Check the brake pads all round. If a caliper is sticking (not retracting fully) then the pad will remain in contact with the disc rotor and gets very hot giving off burning smells. 2) If you have a manual transmission it could also be that your clutch is at the point of failing. A slipping clutch is indicated in gear the engine races irrespective of the the car accelerating along with a smell of burning.

Sounds like a slipping clutch or transmission depending if its a manual or an automatic geared car.
If its a manual with a slipping clutch it will slip worse when in a higher gear going up hill. It will sound like the car is reving higher the the car is moving. If it is the case the clutch assembly will require replacement which involves removal of the gearbox. If its an auto and does the same thing check the fluid level at the dipstick.Top up if low and rectify leaks, If its not low and the fluid smells burned or is brown you should take it to an automatic transmission specialist to have it checked out. If this is helpful Please Vote Jeff

You may as well just go to a trans shop
and ask to have the trans rebuilt

smell the transmission fluid and see if it smells burnt, If so the tranny may need rebuilding.
Check the level while your there. To prolong life of car don't make it do that.

I would say that you need a clutch if their is no adjustment which I don't think there is.

if you have a manual transmission , its likely the clutch
is toasted , if automatic , smell and look at the color
of the fluid , burnt smell , dirty red?
Likely a clutch band/s , burned up.

if it does not go forward or reverse, and it does not feel like it's engaging any other gears, then your transmission needs attention.

Yes, I would get the transmission checked it sounds like it maybe getting ready to go out. Take the dipstick out & smell the fluid to see if it smells burnt...Hope this helps..

Jerry