The deadlock was broken just before the half hour mark. Bailey Peacock-Farrell came off his line to punch away a cross into the box, but couldn’t make contact with the ball - which allowed Owen Bailey to head home for the home side.
Doncaster came close to doubling their lead ahead of the break, with a Neil Byrne header hitting the underside of the crossbar but not going over the line.
Following the restart, Luke Molyneux had the next real opportunity, but saw his attempt saved by Peacock-Farrell after going past James Husband down the left.
Off the bench, Josh Bowler came the closest to finding an equaliser, with a shot from distance striking the post.
Down the other end, Rovers were able to find their second, courtesy of substitute Hakeeb Adelakun.
There was a late consolation for the visitors through Ashley Fletcher, but it came too late to change the direction of things.
In contrast, things actually got worse for Evatt’s side, with Fraser Horsfall being sent off in the closing moments.
On the back of Wednesday night’s 4-1 defeat to AFC Wimbledon, and the subsequent addition of Steve Thompson to Ian Evatt’s backroom staff, the Seasiders moved away from a wing-back system, and instead utilised a 4-2-3-1.
This ultimately didn’t bring a change of fortune, as the same issues continued to plague the Fylde Coast outfit.
Here’s how the Seasiders performed:

1. How did the Seasiders perform?
Blackpool took on Doncaster Rovers at the Eco-Power Stadium. Photo: Gareth Evans

2. Bailey Peacock-Farrell - 4
After making a couple of saves early on, Bailey Peacock-Farrell was at fault for Owen Bailey's goal. The keeper came off his line to punch away the ball but got nowhere near. Photo: Gareth Evans

3. Reuell Walters - 5
Reuell Walters was moved to a more traditional fullback role, and had mixed success in dealing with threats down that side. Photo: Gareth Evans

4. Fraser Horsfall - 4
Fraser Horsfall was sent off in the closing moments. Photo: Gareth Evans

5. Olly Casey - 5
There were a couple of scuffed clearances from Olly Casey, where he should've been more composed under pressure. Photo: Gareth Evans

6. James Husband - 5
James Husband did his defensive duties well enough at left back. Photo: Gareth Evans