Furnace starts to light then goes out
I had the same thing happen with my furnace and I had to have the blower replaced. A very expensive lesson to learn about changing filters often.

The tech told me that if it tried to start and did not pick up on any air movement it would automatically shut off the furnace.

The lack of full air flow first burned out the blower and then I lack of the blower operating kept the furnace from firing.