QB Issue Resolution:

Budgets are by account, not vendor.  Do you mean accounts?

Resolution for Issue '2016 Budget prints out with two 2014 vendors on it who are inactive.' available: Yes (Solved).
Source: Intuit Community forum.

2016 Budget prints out with two 2014 vendors on it who are inactive.: this issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

Support for 2014 vendors
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Error Recovery for 2014 vendors [Canada]
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Additional Support Options: