E WAY BILL WITH E-INVOICE?

Yes, E-way Bill is mandatory for the movement of goods, even if an e-invoice has been generated with an Invoice Reference Number (IRN). E-invoice is a digital invoice that is authenticated by the GST Network (GSTN) and assigned a unique IRN. However, an E-way Bill is a separate document that is required for the movement of goods from one place to another, and it is generated on the E-way Bill portal.

Threshold exception limit still apply as per your state policy for Intrastate movement or 50,000 for interstate movement of goods 

As per Rule 138 Eway is required to be generated if the consignment value get exceeds 50k & it is being transported via motorised conveyance.
Whereas E-invoice is Mandatory for the person whose AGT is more then 10Crore in any preceding FY. & it's applicable on B2b transactions only.

Note: As per Rule 48(5) of CGST Act Taxpayers on whom E-invoice is applicable he is mandatory required to generate E-invoice else it will treated as without Invoice.