It will not increase fuel consumption.
too much fuel, excessive oil consumption
consumption of fuel in grams per horse power(kw) one hour
If your engine is weak, probably 'shorting' oil in between servicing, fuel consumption will likely increase more than normal. May be its time to change oil seal rings or replace the engine with a new one.
At the present rate of consumption of oil and the projected increase in consumption based on present models, proven and suspected reserves of oil will be depleted in that time frame, unless a secondary source of fuel is utilized to reduce our consumption rate. In other words, we are using it up too fast to make it last longer.
The consumption of lubricating oil for a diesel engine depends on the operating conditions and the design of the engine. There are some averages depending on the year of the engine. Pre 1980's engine are around 25% of fuel consumption. Pre 1990 engines are around 20% of fuel consumption and more recently built diesel engines are around 1% of fuel consumption.
There are not any calories in diesel fuel oil. Diesel fuel oil should not be consumed by humans or animals. Consumption of the fuel oil can be fatal.
All engines use a little oil, even new ones. As they wear with use, their oil consumption will increase. Should it get to the point were the exhaust is permanently smokey or consumption is high,maybe a litre every 1000kph, its time to do something about it.
The regular change of oil will not significantly show any change in fuel consumption, if considered over short period. The regular oil change will help in maintaining good engine health and power. It will also increase engine's life. In long term there will be saving in consumption of gas.
High fuel consumption on an EFI could be caused by a bad O2 sensor. Another reason for high fuel consumption is a dirty air filter or oil filter that needs to be changed. Electronic Fuel Injection vehicles are also famous for clogged fuel injectors.
The use of biomass for fuel can reduce the consumption of oil and coal.
"in the United States, something like 178 million gallons of gasoline is consumed everyday."(US Oil Consumption)
Lube oil consumption depends on engine design and motor operating conditions. Dieselnet is a good source. Typical oil consumption values for pre-1980s engines were 0.46 g/kWh (0.34 g/bhp-hr; 0.25% of fuel consumption), pre-1990 engines ranged between 0.33-0.48 g/kWh (~0.15 - 0.20% of fuel consumption). A test on a number of 2002 heavy-duty and medium-duty engines in the US yielded an average of 0.22 g/kWh (0.1% of fuel consumption). Year 2007 heavy- and medium-duty engines consume on average 0.08 g/kWh (around 0.03% of fuel consumption)