I'm afraid that none of those sentences are grammatically correct; 'be continue' does not make sense and should be replaced with just 'continue'.
This company will continue for ten years more.
'Further' and 'further on' imply physical movement, rather than duration. 'More' can work with both duration and physical movement. However, it's common practice to place 'more' before the units and after the number:
This company will continue for ten more years.
But 'further' or 'further on' always go after both the number and unit:
The marathon runner could see the finish line, just ten yards further.