The Governor has relatively limited budgetary powers. The Governor is required to submit an executive budget, but the Legislature typically ignores the Governor’s budget, preferring to take the lead itself on budgetary matters.
A Governor may attempt to influence the budgetary process through the power of persuasion, but this power is limited.
In the end, a Governor’s primary budget power is the power to veto or threaten to veto legislation.
Get to know Texas Governor Greg Abbott (https://gov.texas.gov/governor-abbott), the 48th Governor of the State of Texas.