Rudd struck in five frantic second-half minutes, his second a wonderful lob from the edge of the box, before Baguley sealed the points.
This was United's first win since March 26 and sees them close the gap with First Division leaders Curzon Ashton to seven points with five games left.
Rebels' boss Karl Marginson was pleased with the ruthlessness his side showed, especially after they had started sluggishly and deservedly found themselves a goal down on 25 minutes from a Ben Jones penalty following Shaun Roscoe's clumsy tackle.
The visitors got back into the match through a combination of determination and quick-passing and equalised on 46 minutes when Rudd turned his marker and rolled the ball past keeper Tom Morgan.
The imposing forward struck again soon after and as the hosts tired the Rebels went for the kill.
Top scorer Rory Patterson almost got the third when he hit the bar with a right-footed strike but Baguley made sure with a close-range shot.
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Free Red, Manchester (10/04/2008 at 12:22)
Then on Sunday we have our general to be held at Manchester Apollo, Stockport Road, Manchester, M12 6AP. The Notice for the General Meeting has been sent out to members either by email or through the post. If you are a member and not yet received your Notice then please contact the office to check that we have your correct details on 0161 273 8950 or email office@fc-utd.co.uk
Member Participation. General Meetings of the Club are an opportunity for members to shape club policy and influence its future direction. The board is keen for members to have a greater input to the organisation and running of the club and its general meetings, and proposes establishing a 'meeting arrangements committee’; this committee will work with the Club Secretary to help organise the Annual General Meeting, held in Autumn, and the General Meeting, held in the Spring. Three members have put there names forward to be on the committee. The membership will vote on the day of the General Meeting for them to be accepted onto the committee. Membership for the 2007/08 season is now closed until after the General Meeting.
Directions and Parking. The Manchester Apollo is situated on the A6, Stockport Road (at the roundabout with Hyde Road, A57), approximately 3/4 mile South of Piccadilly Railway / Metrolink Station. A frequent bus service, 192, is available from outside Piccadilly Railway / Metrolink Station to the theatre. Journey time is approximately 3 minutes. Taxi fare from Piccadilly Railway / Metrolink Station is approximately £3.00. There are two official car parks immediately adjacent to the theatre. Only members over the age of 16 are able to attend and vote at the AGM. Viva la revolution, come on FC.