C-172 Flight Instructor reported hitting 2 geese when returning to airport.

Narrative

As I returned from a flight with a student in we had a bird strike as we made our way back into the airport. We were about a 5-6 mile final straight in to 32 when we hit 2 geese. I immediately informed ATC and took control of the aircraft and made a safe landing into the airport on the runway. I did not declare an emergency when asked if I needed assistance because at that time there did not seem to be any issue with the engine. I did immediately notice the very large smear on the upper left of the windscreen and it appeared as though the windscreen had been pushed rearward out of place and the pilot's left side of the windscreen where it curves rearward (in the elbow of the window frame) appeared to lose it's seal. I made minimal engine adjustments and made a safe landing then immediately taxied to base and spoke with Maintenance. ATC provided me with the phone number to contact the shift supervisor to provide him some info for their report. Airport Ops came by and took a swab of the remains on the aircraft to have it sent in for identification and for their report.