The Universe may never have had a beginning. The evidence is ambiguous, meaning that there seem to be other ways to account for the "Red Shift" noticed by Mr. Hubble.
1. If a particle (in this case a photon) is subject to the field called space time which it seems to be. (Gravitational lensing and and the "Harvard Tower Experiments) seem to show this.
2.If the field is collapsing into a massive object. Waves on a beach is a fair example. If things carried on a wave of space time would necessarily be accelerated or slowed (reversed acceleration) with the movements of space time.
3. Since waves and objects can be carried in a field. (sticks on a windswept flowing river would be a fair example) the accelerations due to gravity would result in a red shift over time and space.
4. If there were an infinite number of stars in the background of our observable universe (as predicted in an infinite and eternal universe) that would result in a universally observed Cosmic Microwave Background as the light emitted by those stars would be "Red Shifted" to the microwave length. However the "Doppler Effect" and perhaps others like our views of time, space dust and ripples (variations) in space time must also be considered.
5. If you make an Infinite, Evolving universe it may work without recourse to Singularities, Big Bangs or Creators. It does for me anyways.