How to use PowerShell select-string to find more than one pattern in a file?

If you want to match the two words in either order, use:

gci C:\Logs| select-string -pattern '(VendorEnquiry.*Failed)|(Failed.*VendorEnquiry)'

If Failed always comes after VendorEnquiry on the line, just use:

gci C:\Logs| select-string -pattern '(VendorEnquiry.*Failed)'